# 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 to get .

Combine.

Multiply by to get .

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 to get .

Rewrite as .

Expand using the FOIL Method.

Simplify and combine like terms.

Apply the distributive property.

Simplify.

Multiply by to get .

Move parentheses.

Remove parentheses.

Add and to get .

Split the fraction into multiple fractions.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Move .

Multiply by to get .

Rewrite as .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Move .

Multiply by to get .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.