# Blog

• ## Factor 81a^2-400

Rewrite as .Rewrite as .Since both terms are perfect squares, factor using the difference of squares formula, where and .

• ## Find the LCD (2x+1)/(x^2-6x-16) , (x+3)/(8+2x-x^2)

, Simplify each polynomial.Tap for more steps…Factor using the AC method.Tap for more steps…Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Write the factored form using these integers.Simplify the denominator.Tap for more steps…Rewrite as plus Factor […]

• ## Evaluate 11/18

The result can be shown in multiple forms.Exact Form:Decimal Form:

• ## Factor 4(x-3)-x(y+2)

Apply the distributive property.Multiply by .Apply the distributive property.Multiply by .Subtract from .Factor out of .Tap for more steps…Reorder the expression.Tap for more steps…Move .Reorder and .Factor out of .Factor out of .Rewrite as .Factor out of .Factor out of .

• ## Use the Rational Roots Test to Find All Possible Roots -4 root of 625x^12y^8

Rewrite as .Rewrite as .Pull terms out from under the radical, assuming positive real numbers.Rewrite as .Rewrite as .Pull terms out from under the radical, assuming positive real numbers.

• ## Solve by Completing the Square x^2-14x-2=0

Add to both sides of the equation.To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .Add the term to each side of the equation.Simplify the equation.Tap for more steps…Raise to the power of .Simplify .Tap for more steps…Raise to the […]

• ## Round to the Nearest Hundredth 19.20937271

Find the number in the hundredth place and look one place to the right for the rounding digit . Round up if this number is greater than or equal to and round down if it is less than .

• ## Round to the Nearest Tenth 6.66

Find the number in the tenth place and look one place to the right for the rounding digit . Round up if this number is greater than or equal to and round down if it is less than .

• ## Simplify (2x-5)(3x+4)

Expand using the FOIL Method.Tap for more steps…Apply the distributive property.Apply the distributive property.Apply the distributive property.Simplify and combine like terms.Tap for more steps…Simplify each term.Tap for more steps…Multiply by .Multiply by .Multiply by .Multiply by .Multiply by .Subtract from .

• ## Solve for x -8<2x-5<3

Move all terms not containing from the center section of the inequality.Tap for more steps…Add to each section of the inequality because it does not contain the variable we are trying to solve for.Add and .Add and .Divide each term in the inequality by .Move the negative in front of the fraction.Cancel the common factor […]

• ## Evaluate 8/(5/6)

Multiply the numerator by the reciprocal of the denominator.Multiply .Tap for more steps…Combine and .Multiply by .The result can be shown in multiple forms.Exact Form:Decimal Form:Mixed Number Form:

• ## Find the Equation Given the Roots -5i , 6

, Roots are the points where the graph intercepts with the x-axis . at the rootsThe root at was found by solving for when and .The factor is The root at was found by solving for when and .The factor is The root at was found by solving for when and .The factor is Combine […]

• ## Identify the Sequence -7 , 3 , 13 , 23

, , , This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .Arithmetic Sequence: This is the formula of an arithmetic sequence.Substitute in the values of and .Simplify each term.Tap for more […]

• ## Find the Axis of Symmetry f(x)=-(x-4)^2-6

Set the polynomial equal to to find the properties of the parabola.Use the vertex form, , to determine the values of , , and .Since the value of is negative, the parabola opens down.Opens DownFind the vertex .Find , the distance from the vertex to the focus.Tap for more steps…Find the distance from the vertex […]

• ## Find the Average Rate of Change y = square root of x , (-4,1)

, Substitute using the average rate of change formula.Tap for more steps…The average rate of change of a function can be found by calculating the change in values of the two points divided by the change in values of the two points.Substitute the equation for and , replacing in the function with the corresponding value.Simplify […]

• ## Simplify cos(pi/4)

The exact value of is .The result can be shown in multiple forms.Exact Form:Decimal Form:

• ## Find the Symmetry y^2=2x^4+6

There are three types of symmetry:1. X-Axis Symmetry2. Y-Axis Symmetry3. Origin SymmetryIf exists on the graph, then the graph is symmetric about the:1. X-Axis if exists on the graph2. Y-Axis if exists on the graph3. Origin if exists on the graphCheck if the graph is symmetric about the x-axis by plugging in for .Simplify .Tap […]

• ## Simplify (8x^-3y^-1)/(-2x^6y^-4)

Move to the denominator using the negative exponent rule .Multiply by by adding the exponents.Tap for more steps…Move .Use the power rule to combine exponents.Add and .Move to the numerator using the negative exponent rule .Multiply by by adding the exponents.Tap for more steps…Move .Use the power rule to combine exponents.Subtract from .Cancel the common […]

• ## Solve for x 5(6-3x)+6x<8(4+2x)

Simplify .Tap for more steps…Simplify each term.Tap for more steps…Apply the distributive property.Multiply by .Multiply by .Add and .Simplify .Tap for more steps…Apply the distributive property.Multiply.Tap for more steps…Multiply by .Multiply by .Move all terms containing to the left side of the inequality.Tap for more steps…Subtract from both sides of the inequality.Subtract from .Move all […]

• ## Find All Complex Solutions 3x^3-2x^2-15x+10=0

Factor the left side of the equation.Tap for more steps…Factor out the greatest common factor from each group.Tap for more steps…Group the first two terms and the last two terms.Factor out the greatest common factor (GCF) from each group.Factor the polynomial by factoring out the greatest common factor, .If any individual factor on the left […]

• ## Reduce the Fraction 27/61

The result can be shown in multiple forms.Exact Form:Decimal Form:

• ## Solve for x 4(x+1)+x=3(x-2)+2

Simplify .Tap for more steps…Simplify each term.Tap for more steps…Apply the distributive property.Multiply by .Add and .Simplify .Tap for more steps…Simplify each term.Tap for more steps…Apply the distributive property.Multiply by .Add and .Move all terms containing to the left side of the equation.Tap for more steps…Subtract from both sides of the equation.Subtract from .Move all […]

• ## Simplify x^4

Nothing further can be done with this topic. Please check the expression entered or try another topic.

• ## Solve Using the Square Root Property (y+4)^2=27

Take the square root of each side of the equation to set up the solution for Remove the perfect root factor under the radical to solve for .Simplify the right side of the equation.Tap for more steps…Rewrite as .Tap for more steps…Factor out of .Rewrite as .Pull terms out from under the radical.The complete solution […]

• ## Find the Slope 5x-2y=4

Rewrite in slope-intercept form.Tap for more steps…The slope-intercept form is , where is the slope and is the y-intercept.Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify .Tap for more steps…Simplify […]

• ## Simplify square root of 45a^7

Rewrite as .Tap for more steps…Factor out of .Rewrite as .Factor out .Rewrite as .Move .Rewrite as .Add parentheses.Pull terms out from under the radical.

• ## Solve by Graphing 3x+6y=12 , 9x-18y=36

, Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify each term.Tap for more steps…Divide by .Cancel the common factor of and .Tap for more steps…Factor out of .Cancel the common […]

• ## Find the Vertex x^2+12x+43

Set the polynomial equal to to find the properties of the parabola.Rewrite the equation in vertex form.Tap for more steps…Complete the square for .Tap for more steps…Use the form , to find the values of , , and .Consider the vertex form of a parabola.Substitute the values of and into the formula .Cancel the common […]

• ## Solve for x (5-x)^(1/2)=x+1

Graph each side of the equation. The solution is the x-value of the point of intersection.

• ## Solve for d p=2c+2d

Rewrite the equation as .Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Cancel the common factor of and .Tap for more steps…Factor out of .Cancel the common factors.Tap for more steps…Factor […]

• ## Convert to a Fraction 2.1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is number to the right of the decimal point, place the decimal number over . Next, add the whole number to the left of the decimal.Convert to an improper fraction.Tap for more steps…A mixed number is […]

• ## Evaluate square root of 1000000

Rewrite as .Pull terms out from under the radical, assuming positive real numbers.

• ## Find the Axis of Symmetry f(x)=(x-2)^2-1

Set the polynomial equal to to find the properties of the parabola.Use the vertex form, , to determine the values of , , and .Since the value of is positive, the parabola opens up.Opens UpFind the vertex .Find , the distance from the vertex to the focus.Tap for more steps…Find the distance from the vertex […]

• ## Find the Maximum/Minimum Value f(x)=x^2+6x+1

The maximum or minimum of a quadratic function occurs at . If is negative, the maximum value of the function is . If is positive, the minimum value of the function is . occurs at Find the value of equal to .Substitute in the values of and .Remove parentheses.Simplify .Tap for more steps…Cancel the common […]

• ## Graph f(x)=(x+1)^2-6

Find the properties of the given parabola.Tap for more steps…Use the vertex form, , to determine the values of , , and .Since the value of is positive, the parabola opens up.Opens UpFind the vertex .Find , the distance from the vertex to the focus.Tap for more steps…Find the distance from the vertex to a […]

• ## Evaluate square root of 0.0004

The result can be shown in multiple forms.Exact Form:Decimal Form:

• ## Evaluate square root of 810+ square root of 240- square root of 250

Simplify each term.Tap for more steps…Rewrite as .Tap for more steps…Factor out of .Rewrite as .Pull terms out from under the radical.Rewrite as .Tap for more steps…Factor out of .Rewrite as .Pull terms out from under the radical.Rewrite as .Tap for more steps…Factor out of .Rewrite as .Pull terms out from under the radical.Multiply by […]

• ## Evaluate ( cube root of 54)/( cube root of 10)

Combine and into a single radical.Cancel the common factor of and .Tap for more steps…Factor out of .Cancel the common factors.Tap for more steps…Factor out of .Cancel the common factor.Rewrite the expression.Rewrite as .Simplify the numerator.Tap for more steps…Rewrite as .Pull terms out from under the radical, assuming real numbers.Multiply by .Combine and simplify the […]

• ## Graph y=3/5x-3

Rewrite in slope-intercept form.Tap for more steps…The slope-intercept form is , where is the slope and is the y-intercept.Reorder terms.Use the slope-intercept form to find the slope and y-intercept.Tap for more steps…Find the values of and using the form .The slope of the line is the value of , and the y-intercept is the value […]

• ## Simplify ( square root of a+2 square root of y)/( square root of a-2 square root of y)

Multiply by .Combine fractions.Tap for more steps…Multiply and .Expand the denominator using the FOIL method.Simplify.Tap for more steps…Rewrite as .Tap for more steps…Use to rewrite as .Apply the power rule and multiply exponents, .Combine and .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify.Rewrite as .Tap for more steps…Use to […]

• ## Write in y=mx+b Form -x-4y=4

The slope-intercept form is , where is the slope and is the y-intercept.Rewrite in slope-intercept form.Tap for more steps…Add to both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify .Tap for more steps…Simplify […]

• ## Graph the Interval [3,9]

All numbers between and , including the and , are included.

• ## Find the Maximum/Minimum Value -16x^2+136x+72

The maximum or minimum of a quadratic function occurs at . If is negative, the maximum value of the function is . If is positive, the minimum value of the function is . occurs at Find the value of equal to .Substitute in the values of and .Remove parentheses.Simplify .Tap for more steps…Cancel the common […]

• ## Find the Slope of a Perpendicular Line 9x+7y=6

Rewrite in slope-intercept form.Tap for more steps…The slope-intercept form is , where is the slope and is the y-intercept.Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify .Tap for more steps…Move […]

• ## Find the Possible Factors -49

The factors for are all numbers between and , which divide evenly.Check numbers between and Find the factor pairs of where .List the factors for .

• ## Find the Difference Quotient f(x)=4x-13

Consider the difference quotient formula.Find the components of the definition.Tap for more steps…Evaluate the function at .Tap for more steps…Replace the variable with in the expression.Simplify the result.Tap for more steps…Apply the distributive property.The final answer is .Reorder and .Find the components of the definition.Plug in the components.Simplify.Tap for more steps…Simplify the numerator.Tap for more […]

• ## Expand log of m^-5

Expand by moving outside the logarithm.

• ## Find the Slope (5/8,-3) , (-1/4,-1/4)

, Slope is equal to the change in over the change in , or rise over run.The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).Substitute in the values of and into the equation to find the slope.Simplify.Tap […]

• ## Solve Using the Quadratic Formula x^2-12x-18=0

Use the quadratic formula to find the solutions.Substitute the values , , and into the quadratic formula and solve for .Simplify.Tap for more steps…Simplify the numerator.Tap for more steps…Raise to the power of .Multiply by .Multiply by .Add and .Rewrite as .Tap for more steps…Factor out of .Rewrite as .Pull terms out from under the […]

• ## Convert to Logarithmic Form a^b=n

Reduce by cancelling the common factors.Convert the exponential equation to a logarithmic equation using the logarithm base of the right side equals the exponent .

• ## Graph y = square root of x+2-3

Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical.Tap for more steps…Set the radicand in greater than or equal to to find where the expression is defined.Subtract from both sides of the inequality.The domain is all values of that […]

• ## Evaluate Using the Given Value h(-2)=(1/8)^-2

Change the sign of the exponent by rewriting the base as its reciprocal.Raise to the power of .

• ## Write in y=mx+b Form 6x-3y=-6

The slope-intercept form is , where is the slope and is the y-intercept.Rewrite in slope-intercept form.Tap for more steps…Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the common factor of .Tap for more steps…Cancel the common factor.Divide by .Simplify .Tap for more steps…Simplify […]

• ## Find the Axis of Symmetry y=4x^2-32x+15

Rewrite the equation in vertex form.Tap for more steps…Complete the square for .Tap for more steps…Use the form , to find the values of , , and .Consider the vertex form of a parabola.Substitute the values of and into the formula .Simplify the right side.Tap for more steps…Cancel the common factor of and .Tap for […]

• ## Write in y=mx+b Form 4x+2y+22=0

The slope-intercept form is , where is the slope and is the y-intercept.Rewrite in slope-intercept form.Tap for more steps…Move all terms not containing to the right side of the equation.Tap for more steps…Subtract from both sides of the equation.Subtract from both sides of the equation.Divide each term by and simplify.Tap for more steps…Divide each term […]

• ## Factor 4x^2-24x+20

Factor out of .Tap for more steps…Factor out of .Factor out of .Factor out of .Factor out of .Factor out of .Factor.Tap for more steps…Factor using the AC method.Tap for more steps…Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and […]

• ## Simplify cos(pi)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.The exact value of is .Multiply by .

• ## Write in y=mx+b Form 5x-2y=8x+7

The slope-intercept form is , where is the slope and is the y-intercept.Rewrite in slope-intercept form.Tap for more steps…Move all terms not containing to the right side of the equation.Tap for more steps…Subtract from both sides of the equation.Subtract from .Divide each term by and simplify.Tap for more steps…Divide each term in by .Cancel the […]

• ## Find the 2nd Term 27(0.1)^(n-1)

Substitute in the value of to find the th term.Subtract from .Multiply by .

• ## Factor k^2-16k+28

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Write the factored form using these integers.

• ## Find the Derivative f(x)=64/( cube root of 5x^2+7x+8)

Differentiate using the Constant Multiple Rule.Tap for more steps…Use to rewrite as .Since is constant with respect to , the derivative of with respect to is .Apply basic rules of exponents.Tap for more steps…Rewrite as .Multiply the exponents in .Tap for more steps…Apply the power rule and multiply exponents, .Combine and .Move the negative in […]

• ## Factor x^4-x^2-56

Rewrite as .Let . Substitute for all occurrences of .Factor using the AC method.Tap for more steps…Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Write the factored form using these integers.Replace all occurrences of with .

• ## Multiply the Matrices [[3,25,20,7,1,8],[18,16,15,18,16,25]][[1,2],[1,3]]

Matrices can only be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix. The matrices and cannot be multiplied.

• ## Factor t^2-t-12

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Write the factored form using these integers.

• ## Find the Equation Using Point-Slope Formula (-4,2) , (0,-30)

, Find the slope of the line between and using , which is the change of over the change of .Tap for more steps…Slope is equal to the change in over the change in , or rise over run.The change in is equal to the difference in x-coordinates (also called run), and the change in […]

• ## Factor 20m^2-14m+2

Factor out of .Tap for more steps…Factor out of .Factor out of .Factor out of .Factor out of .Factor out of .Factor.Tap for more steps…Factor by grouping.Tap for more steps…For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .Tap for […]

• ## Find the Roots (Zeros) f(x)=x^4-21x^2-100

Set equal to .Solve for .Tap for more steps…Substitute into the equation. This will make the quadratic formula easy to use.Factor using the AC method.Tap for more steps…Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Write […]

• ## Solve by Factoring 2x^2+3x-14=0

Factor by grouping.Tap for more steps…For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .Tap for more steps…Factor out of .Rewrite as plus Apply the distributive property.Factor out the greatest common factor from each group.Tap for more steps…Group the first […]

• ## Convert to Radical Form (9x^4)^(1/2)

If is a positive integer that is greater than and is a real number or a factor, then .Use the rule to convert to a radical, where , , and .

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