Use the FOIL method to expand the terms.

Multiply out each term.

Combine like-terms and write out the expanded form.

The answer is:

Recall that when expanding polynomials, we use the term FOIL (First, Outside, Inside, Last) to help us multiply all terms together.

Next, multiply each term to simplify and combine like terms. Note: Be careful with negative signs.

This product fits the sum of cubes pattern, where :

So

Variables without any exponents have an invisable 1 as their exponent.

Use the distributive property to expand the expression.

Multiply making sure to distribute the negative sign:

Use the FOIL method to simplify. FOIL stands for the finding the product of polynomials by multiplying their First, Outer, Inner, and Last terms together.

Firsts:

Outers:

Inners:

Lasts:

Multiply out each term and adding them results in the final polynomial.

Remember when multiplying like bases you add their exponents.

First factor each equation fully to see if there are terms that can cancel out:

Cancel terms:

Simplify exponents:

Use the distributive property to expand this expression. When powers of similar bases are multiplied, their powers can be added.

When multiplying, remember the Product Rule of Exponents:

Step 1: Multiply the first term of the first polynomial across the terms of the second polynomial, and then add those products:

Step 2: Multiply the second term of the first polynomial across the terms of the second polynomial, and again add the products:

Step 3: Add the products from Step 1 and Step 2 by combining like terms. Remember that variables with different exponents are not like terms. For example, and are like terms, but, and are not like terms: