what is the additive inverse of the polynomial -9xy^2 + 6x^2y - 5x^3?\n-9xy^2 - 6x^2y + 5x^3\n-9xy^2 - 6x^2y…

Explanation:

Step1: Recall additive - inverse definition

The additive inverse of a polynomial (P(x,y)) is a polynomial (Q(x,y)) such that (P(x,y)+Q(x,y) = 0). To find the additive inverse of a polynomial, we change the sign of each term.

Step2: Change the sign of each term

Given the polynomial (-9xy^{2}+6x^{2}y - 5x^{3}), changing the sign of each term gives (9xy^{2}-6x^{2}y + 5x^{3}).

Answer:

D. (9xy^{2}-6x^{2}y + 5x^{3})