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

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

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: $$-w^{2+1}+15w^2$$$$-w^{3}+15w^2$$