# 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.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify and combine like terms.

Simplify each term.

Multiply by by adding the exponents.

Combine and

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Multiply by .

Subtract from .

Apply the distributive property.

Simplify.

Move to the left of the expression .

Multiply by .

Multiply by .

Multiply by .

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify and combine like terms.

Simplify each term.

Multiply by by adding the exponents.

Combine and

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Multiply by .

Add and .

Apply the distributive property.

Simplify.

Move to the left of the expression .

Multiply by .

Multiply by .

Multiply by .

Remove unnecessary parentheses.

Add and .

Multiply both sides of the equation by .

Simplify .

Multiply by .

Multiply by .

Simplify the left side.

Remove parentheses.

Move .

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

Subtract from .