3 Tutorials that teach Multiplying Monomials and Binomials
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Multiplying Monomials and Binomials

Multiplying Monomials and Binomials

Author: Sophia Tutorial

This lesson covers multiplying monomials and binomials.

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  • Distribution Review
  • Monomial Multiplied by a Monomial
  • Distribution with Multiple Variables

Distribution Review

Multiplying a monomial into a binomial or other polynomial is a lot like distribution.  All of the factors of the monomial are multiplied into each term of the polynomial.  Before we complicate things with several variables and exponents, let's briefly review a distribution example.

Monomial Multiplied by a Monomial

When we multiply two terms that contain different coefficients, variables, and powers, we need to make sure that all coefficients are multiplied together, and if the variables are the same, we can increase the exponent power.  If variables are not the same, we just write them next to each other to show they have been multiplied.  Here are some examples:

Multiplying a Monomial by Binomial

Finally, let's see how we can use the distribute rule and our process for multiplying coefficients and variables with a more complicated example: