What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
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:
The additive inverse of given expression is \(9xy^2-6x^2y+5x^3\).
Step-by-step 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 \(9xy^2-6x^2y+5x^3\).