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## Algebra basics (ASL)

### Course: Algebra basics (ASL) > Unit 7

Lesson 2: Multiplying binomials (ASL)- Multiplying monomials by polynomials
- Multiply monomials by polynomials
- Multiplying monomials by polynomials review
- Multiplying binomials: area model
- Multiplying binomials intro
- Multiply binomials intro
- Multiplying binomials (ASL)
- Multiply binomials
- Multiplying binomials review

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# Multiplying monomials by polynomials review

We use the distributive property to multiply monomials by polynomials. For example, 2x(3x+7) = 6x^2+14x. This article provides a brief review of the topic and gives you a couple of practice problems to try on your own.

In order to multiply monomials like 6, z, squared by polynomials like 7, z, squared, plus, 3, z, minus, 2, we need to apply the distributive property.

### Example

**Simplify.**

*Express your answer as a trinomial.*

This is a

*distributive property*problem. How can we distribute start color #6495ed, 6, z, squared, end color #6495ed to each term inside of the parentheses?This product is equal to 42, z, start superscript, 4, end superscript, plus, 18, z, cubed, minus, 12, z, squared.

*Want to learn more about multiplying monomials by polynomials? Check out this video.*

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