# Precalculus Examples

Step 1

Step 1.1

Simplify each term.

Step 1.1.1

Rewrite as .

Step 1.1.2

Expand using the FOIL Method.

Step 1.1.2.1

Apply the distributive property.

Step 1.1.2.2

Apply the distributive property.

Step 1.1.2.3

Apply the distributive property.

Step 1.1.3

Simplify and combine like terms.

Step 1.1.3.1

Simplify each term.

Step 1.1.3.1.1

Multiply by .

Step 1.1.3.1.2

Move to the left of .

Step 1.1.3.1.3

Rewrite as .

Step 1.1.3.1.4

Rewrite as .

Step 1.1.3.1.5

Multiply by .

Step 1.1.3.2

Subtract from .

Step 1.2

To write as a fraction with a common denominator, multiply by .

Step 1.3

Simplify terms.

Step 1.3.1

Combine and .

Step 1.3.2

Combine the numerators over the common denominator.

Step 1.4

Simplify the numerator.

Step 1.4.1

Move to the left of .

Step 1.4.2

Rewrite as .

Step 1.4.3

Expand using the FOIL Method.

Step 1.4.3.1

Apply the distributive property.

Step 1.4.3.2

Apply the distributive property.

Step 1.4.3.3

Apply the distributive property.

Step 1.4.4

Simplify and combine like terms.

Step 1.4.4.1

Simplify each term.

Step 1.4.4.1.1

Multiply by .

Step 1.4.4.1.2

Move to the left of .

Step 1.4.4.1.3

Multiply by .

Step 1.4.4.2

Add and .

Step 1.5

To write as a fraction with a common denominator, multiply by .

Step 1.6

Simplify terms.

Step 1.6.1

Combine and .

Step 1.6.2

Combine the numerators over the common denominator.

Step 1.7

Multiply by .

Step 1.8

Simplify terms.

Step 1.8.1

Write as a fraction with a common denominator.

Step 1.8.2

Combine the numerators over the common denominator.

Step 1.8.3

Add and .

Step 1.8.4

Factor out of .

Step 1.8.5

Factor out of .

Step 1.8.6

Factor out of .

Step 1.8.7

Factor out of .

Step 1.8.8

Factor out of .

Step 1.8.9

Factor out of .

Step 1.8.10

Factor out of .

Step 1.8.11

Rewrite as .

Step 1.8.12

Factor out of .

Step 1.8.13

Simplify the expression.

Step 1.8.13.1

Rewrite as .

Step 1.8.13.2

Move the negative in front of the fraction.

Step 2

Multiply both sides by .

Step 3

Step 3.1

Simplify the left side.

Step 3.1.1

Simplify .

Step 3.1.1.1

Cancel the common factor of .

Step 3.1.1.1.1

Move the leading negative in into the numerator.

Step 3.1.1.1.2

Cancel the common factor.

Step 3.1.1.1.3

Rewrite the expression.

Step 3.1.1.2

Apply the distributive property.

Step 3.1.1.3

Simplify.

Step 3.1.1.3.1

Multiply by .

Step 3.1.1.3.2

Multiply by .

Step 3.1.1.3.3

Multiply .

Step 3.1.1.3.3.1

Multiply by .

Step 3.1.1.3.3.2

Multiply by .

Step 3.1.1.3.4

Multiply by .

Step 3.1.1.3.5

Multiply by .

Step 3.1.1.4

Move .

Step 3.2

Simplify the right side.

Step 3.2.1

Multiply by .

Step 4

Step 4.1

Subtract from both sides of the equation.

Step 4.2

Subtract from .