Multiply. -5 m(m^2+3 m-18)

Name: Problem 170, Chapter 10: Prealgebra
Uploaded: 2020-04-05T20:51:37-08:00
Duration: 49 s
Channel: Brian Austin
Description: Multiply. -5 m(m^2+3 m-18)

step 1 For this question, we're going to multiply this monomial, negative 5m, to this trinomial m squar

Question

Multiply. $$-5 m\left(m^{2}+3 m-18\right)$$

   Multiply.
$$-5 m\left(m^{2}+3 m-18\right)$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 10, Problem 170

Instant Answer

Solved by Expert Brian Austin

04/05/2020

Step 1

This means we multiply $-5m$ with $m^{2}$, $3m$, and $-18$ respectively. Show more…

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Multiply. $$-5 m\left(m^{2}+3 m-18\right)$$

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Key Concepts

Distributive Property

The distributive property in algebra allows one to multiply a single term by each term within a group (usually within parentheses), thereby ‘distributing’ the multiplication over addition or subtraction. This principle is essential when expanding expressions, as it ensures each term is properly multiplied by the outside factor.

Monomial Multiplication

Monomial multiplication involves multiplying a single term (a monomial) by each term of a polynomial expression. In this process, the numerical coefficients are multiplied together, and the exponent rules are applied when dealing with variables, ensuring that like bases have their exponents added.

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