# Precalculus Examples

Factor out the

Multiply the numerator by the reciprocal of the denominator.

Multiply .

Multiply and .

Multiply by .

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Raise to the power of .

Add to get the perfect square trinomial.

Apply the distributive property.

Simplify.

Cancel the common factor of .

Move the leading negative in into the numerator.

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Multiply and .