Respuesta :
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.
-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 [tex]9xy^2-6x^2y+5x^3[/tex].
Step-by-step explanation:
The given polynomial is
[tex]-9xy^2+6x^2y-5x^3[/tex]
Let a be any number and b is its additive inverse, then
[tex]a+b=0[/tex]
[tex]b=-a[/tex]
The value of b is equal to -a. It means the additive inverse of a is -a.
The additive inverse of given expression is
[tex]-(-9xy^2+6x^2y-5x^3)=9xy^2-6x^2y+5x^3[/tex]
Therefore the additive inverse of given expression is [tex]9xy^2-6x^2y+5x^3[/tex].
