What is the additive inverse of the polynomial? - 7y^2+x^2y-3xy-7x^2

Additive inverse is (7y² - x²y + 3xy + 7x²).

Step-by-step explanation:

Let the additive inverse of the given polynomial be Y.

Therefore as per definition of additive inverse of any polynomial the addition of a polynomial and additive inverse of any polynomial is always zero.

So Polynomial + additive inverse polynomial = 0

(-7y² + x²y - 3xy - 7x²) + Y = 0

Y = - (-7y² + x²y - 3xy - 7x²) = (7y² - x²y + 3xy + 7x²)

So the additive inverse of the polynomial will be (7y² - x²y + 3xy + 7x²).