The additive inverse of the polynomial is +7y²-x²y+3xy+7x².
The additive inverse can be defined as when we add a number to some number and get result as zero.
Given polynomial:
-7y²+x²y-3xy-7x²
As, the value of additive inverse is same as of the number but the sign of the additive inverse is opposite.
So,
= +7y²-x²y+3xy+7x²
Check:
-7y²+x²y-3xy-7x² + 7y²-x²y+3xy+7x²
= -7y²+ 7y² +x²y -x²y -3xy +3xy -7x² +7x²
=0
Hence, the additive inverse of the polynomial is +7y²-x²y+3xy+7x².
Learn more about this additive inverse here:
https://brainly.com/question/12092863
#SPJ1
