How to multiply a monomial by a polynomial

Distribute the monomial through the polynomial.

The answer is:

Distribute the monomial to each part of the polynomial, paying careful attention to signs:

In order to multiply this, we can simply multiply the coefficients together and the variables together. Anytime we multiply a variable of the same base, we can add the exponents.

Simplify the right side.

The answer is:

Distribute the monomial through each term inside the parentheses.