Find the Perfect Square Trinomial x^2-1/11x

$x^{2} - \frac{1}{11} x$

Combine $x$ and $\frac{1}{11}$ .

$x^{2} - \frac{x}{11}$

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

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Multiply the numerator by the reciprocal of the denominator.

${(- \frac{1}{11} \cdot \frac{1}{2})}^{2}$

Multiply $- \frac{1}{11} \cdot \frac{1}{2}$ .

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Multiply $\frac{1}{2}$ and $\frac{1}{11}$ .

${(- \frac{1}{2 \cdot 11})}^{2}$

Multiply $2$ by $11$ .

${(- \frac{1}{22})}^{2}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Apply the product rule to $- \frac{1}{22}$ .

${(- 1)}^{2} {(\frac{1}{22})}^{2}$

Apply the product rule to $\frac{1}{22}$ .

${(- 1)}^{2} \frac{1^{2}}{22^{2}}$

Raise $- 1$ to the power of $2$ .

$1 \frac{1^{2}}{22^{2}}$

Multiply $\frac{1^{2}}{22^{2}}$ by $1$ .

$\frac{1^{2}}{22^{2}}$

One to any power is one.

$\frac{1}{22^{2}}$

Raise $22$ to the power of $2$ .

$\frac{1}{484}$

Add $\frac{1}{484}$ to get the perfect square trinomial.

$x^{2} - \frac{1}{11} x + \frac{1}{484}$

Find the Perfect Square Trinomial x^2-1/11x