Answer
$y^{2}+3$
Work Step by Step
We are asked to subtract $(9y^{2}-7y+5)-(8y^{2}-7y+2)$. To subtract two polynomials, add the opposite of the second polynomial to the first polynomial.
$(9y^{2}-7y+5)+(-8y^{2}+7y-2)$
Next, we can combine like terms.
$(9y^{2}-8y^{2})+(-7y+7y)+(5-2)=y^{2}+3$
