The additive inverse of the polynomial (-9xy² + 6x²y - 5x³) is 9xy² - 6x²y + 5x³.
What is a polynomial?
They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.
Example:
x^2 + 3x + 5
is a polynomial.
To get the additive inverse of a polynomial multiply the complete polynomial by -1, therefore, the additive inverse is equal to,
= -1 × (-9xy² + 6x²y - 5x³)
= 9xy² - 6x²y + 5x³
Hence, the additive inverse of the polynomial (-9xy² + 6x²y - 5x³) is 9xy² - 6x²y + 5x³.
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