# Algebra Examples

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

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

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

Combine.

Multiply by .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Rewrite as .

Expand using the FOIL Method.

Simplify and combine like terms.

Apply the distributive property.

Simplify.

Multiply by .

Rewrite as .

Expand using the FOIL Method.

Simplify and combine like terms.

Apply the distributive property.

Simplify.

Multiply by .

Move parentheses.

Remove parentheses.

Add and .

Reorder terms.

Multiply both sides of the equation by .

Simplify the right side.

Multiply by .

Multiply by .

Remove parentheses.

Move to the left side of the equation by subtracting it from both sides.

Subtract from .