# Precalculus Examples

Step 1

Step 1.1

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

Step 1.2

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

Step 1.3

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Step 1.3.1

Multiply by .

Step 1.3.2

Multiply by .

Step 1.3.3

Multiply by .

Step 1.3.4

Multiply by .

Step 1.4

Combine the numerators over the common denominator.

Step 1.5

Simplify the numerator.

Step 1.5.1

Rewrite as .

Step 1.5.2

Expand using the FOIL Method.

Step 1.5.2.1

Apply the distributive property.

Step 1.5.2.2

Apply the distributive property.

Step 1.5.2.3

Apply the distributive property.

Step 1.5.3

Simplify and combine like terms.

Step 1.5.3.1

Simplify each term.

Step 1.5.3.1.1

Multiply by .

Step 1.5.3.1.2

Multiply by .

Step 1.5.3.1.3

Multiply by .

Step 1.5.3.1.4

Multiply by .

Step 1.5.3.2

Add and .

Step 1.5.4

Apply the distributive property.

Step 1.5.5

Simplify.

Step 1.5.5.1

Move to the left of .

Step 1.5.5.2

Multiply by .

Step 1.5.5.3

Multiply by .

Step 1.5.6

Rewrite as .

Step 1.5.7

Expand using the FOIL Method.

Step 1.5.7.1

Apply the distributive property.

Step 1.5.7.2

Apply the distributive property.

Step 1.5.7.3

Apply the distributive property.

Step 1.5.8

Simplify and combine like terms.

Step 1.5.8.1

Simplify each term.

Step 1.5.8.1.1

Multiply by .

Step 1.5.8.1.2

Move to the left of .

Step 1.5.8.1.3

Multiply by .

Step 1.5.8.2

Add and .

Step 1.5.9

Apply the distributive property.

Step 1.5.10

Simplify.

Step 1.5.10.1

Move to the left of .

Step 1.5.10.2

Multiply by .

Step 1.5.10.3

Multiply by .

Step 1.5.11

Add and .

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

Cancel the common factor.

Step 3.1.1.1.2

Rewrite the expression.

Step 3.1.1.2

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 .