# Precalculus Examples

Factor out the

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Multiply and to get .

Simplify the expression.

Apply the product rule to .

One to any power is one.

Raise to the power of to get .

Add to get the perfect square trinomial.

Apply the distributive property.

Simplify.

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and to get .

Divide by to get .

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 to get .