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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 264 (page 538)

In the following exercises , simplify the equation $- 5 m (m^{2} + 3 m - 18)$ .

Short Answer

Expert verified

The simplified expression is $- 5 m^{3} - 15 m^{2} + 90 m$ .

Step by step solution

01

Step 1. Given Information.

The expression is $- 5 m (m^{2} + 3 m - 18)$ .

02

Step 2. Simplify given equation.

Simplifying $- 5 m (m^{2} + 3 m - 18)$

Applying distributive law , we get:-

$- 5 m (m^{2} + 3 m - 18) = - 5 m m^{2} - 5 m \cdot 3 m - 5 m (- 18) - 5 m m^{2} - 5 m \cdot 3 m - 5 m (- 18) = - 5 m^{3} - 15 m^{2} + 90 m$

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