# Precalculus Examples

Step 1

Factor out the

Step 2

Step 2.1

Multiply the numerator by the reciprocal of the denominator.

Step 2.2

Cancel the common factor of .

Step 2.2.1

Factor out of .

Step 2.2.2

Cancel the common factor.

Step 2.2.3

Rewrite the expression.

Step 2.3

Simplify the expression.

Step 2.3.1

Apply the product rule to .

Step 2.3.2

Raise to the power of .

Step 2.3.3

Raise to the power of .

Step 3

Add to get the perfect square trinomial.

Step 4

Step 4.1

Apply the distributive property.

Step 4.2

Simplify.

Step 4.2.1

Cancel the common factor of .

Step 4.2.1.1

Factor out of .

Step 4.2.1.2

Cancel the common factor.

Step 4.2.1.3

Rewrite the expression.

Step 4.2.2

Multiply by .

Step 4.2.3

Cancel the common factor of .

Step 4.2.3.1

Factor out of .

Step 4.2.3.2

Factor out of .

Step 4.2.3.3

Cancel the common factor.

Step 4.2.3.4

Rewrite the expression.

Step 4.2.4

Combine and .

Step 4.2.5

Multiply by .