Answer
5x^{2}-9x-3$
Work Step by Step
We are given the expression $(4x^{2}-6x+2)-(-x^{2}+3x+5)$. We can subtract the second polynomial from the first polynomial by adding the opposite of the second polynomial to the first polynomial.
$(4x^{2}-6x+2)+(x^{2}-3x-5)$
We can combine like terms to simplify.
$(4x^{2}+x^{2})+(-6x-3x)+(2-5)=5x^{2}-9x-3$
