Answer
$x^{2}+2$
Work Step by Step
We are given the expression $(7x^{2}+x+1)-(6x^{2}+x-1)$. We can subtract the second polynomial from the first polynomial by adding the opposite of the second polynomial to the first polynomial.
$(7x^{2}+x+1)+(-6x^{2}-x+1)$
We can combine like terms to simplify.
$(7x^{2}-6x^{2})+(x-x)+(1+1)=x^{2}+2$
