## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 495: 12

#### Answer

$-w^{3}+15w^2$

#### Work Step by Step

We start with the given expression: $-w^2(w-15)$ We apply the distributive property to multiply the monomial by the binomial: $(-w^2)(w)+(-w^2)(-15)$ We multiply the coefficients and add the exponents on each term to arrive at our answer: $$-w^{2+1}+15w^2$$$$-w^{3}+15w^2$$

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