What is the additive inverse of the polynomial 9xy2+6x2y-5x3?

The additive inverse of a polynomial is a polynomial that, when added to the original polynomial, yields a zero polynomial. In other words, it is the polynomial that, when added to the original polynomial, cancels out all the terms.

The given polynomial is 9xy^2 + 6x^2y - 5x^3. To find its additive inverse, we change the sign of each term in the polynomial.

So the additive inverse of 9xy^2 is -9xy^2, the additive inverse of 6x^2y is -6x^2y, and the additive inverse of -5x^3 is 5x^3.

Therefore, the additive inverse of the polynomial 9xy^2 + 6x^2y - 5x^3 is -9xy^2 - 6x^2y + 5x^3.