# Expand Using Pascal’s Triangle (yz+1)^5

Pascal’s Triangle can be displayed as such:
The triangle can be used to calculate the coefficients of the expansion of by taking the exponent and adding . The coefficients will correspond with line of the triangle. For , so the coefficients of the expansion will correspond with line .
The expansion follows the rule . The values of the coefficients, from the triangle, are .
Substitute the actual values of and into the expression.
Simplify each term.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Simplify .
Apply the product rule to .
Apply the product rule to .
Evaluate the exponent.
Multiply by .
Apply the product rule to .
One to any power is one.
Multiply by .
Apply the product rule to .
One to any power is one.
Multiply by .
Simplify.
One to any power is one.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.