Question

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

Answer 1

Additive inverse of 9xy² + 6x²y - 5x³

-1(9xy² + 6x²y - 5x³) ⇒ (-1)(9xy²) + (-1)(6x²y) + (-1)(-5x³)

-9xy² - 6x²y + 5x³ is the additive inverse of the given polynomial.

Answer 2

The additive inverse of given expression is
`9xy^2-6x^2y+5x^3`.

Explanation:

The given polynomial is

`-9xy^2+6x^2y-5x^3`

Let a be any number and b is its additive inverse, then

`a+b=0`

`b=-a`

The value of b is equal to -a. It means the additive inverse of a is -a.

The additive inverse of given expression is

`-(-9xy^2+6x^2y-5x^3)=9xy^2-6x^2y+5x^3`

Therefore the additive inverse of given expression is
`9xy^2-6x^2y+5x^3`.