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

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

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

Answer

Answer:

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

Explanation:

Step1: Recall additive - inverse concept

The additive inverse of a number or polynomial $a$ is $-a$ such that $a+( - a)=0$.

Step2: Find additive inverse of given polynomial

For the polynomial $-9xy^{2}+6x^{2}y - 5x^{3}$, change the sign of each term. The additive inverse is $-(-9xy^{2}+6x^{2}y - 5x^{3})=9xy^{2}-6x^{2}y + 5x^{3}$.