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3 years ago

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

Mathematics

2 answers:

elena-s [515]3 years ago

6 0

9xy2-6x2y+5x3. Change every sign in the equation as if you were multiplying each part by -1.

kobusy [5.1K]3 years ago

6 0

Answer: The required additive inverse of the given polynomial is $9xy^2-6x^2y+5x^3.$

Step-by-step explanation: We are given to find the additive inverse of the following polynomial :

$P=-9xy^2+6x^2y-5x^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let Q be the polynomial that represents the additive inverse of the polynomial P.

Then, the sum of the polynomials P and must be zero.

That is,

$P+Q=0\\\\\Rightarrow (-9xy^2+6x^2y-5x^3)+Q=0\\\\\Rightarrow Q=0-(-9xy^2+6x^2y-5x^3)\\\\\Rightarrow Q=0+9xy^2-6x^2y+5x^3\\\\\Rightarrow Q=9xy^2-6x^2y+5x^3.$

Thus, the required additive inverse of the given polynomial is $9xy^2-6x^2y+5x^3.$

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