Choose the product. -5p^3 (4p^2 + 3p - 1) a. -20p^5 - 15p^4 + 5p^3 b. -20p^6 - 15p^4 - 5p^3 c. -20p^5 + 3p - 1 d. 20p^5 + 15p^4 - 5p^3

Simply distribute, multiplying the coefficients and adding exponents when necessary...

-5p^3 (4p^2 + 3p - 1)

The first term I'll explain then just do the rest

-20p^5 

because -5*4 = -20 and p^3 * p^2 = p^5. Since we are multiplying bases with exponents, we keep the bases and add the exponents, now for the rest of the expression

-20p^5 -15p^4 + 5p^3, Option A.

Answer is A, -20p^5-15p^4+5p^3