Answer
$7x^{3}+4x^{2}+8x-10$
Work Step by Step
We are given $(9x^{3}-2x^{2}+4x-7)-(2x^{3}-6x^{2}-4x+3)$. To subtract two polynomials, we can add the opposite of the second polynomial to the first polynomial.
$(9x^{3}-2x^{2}+4x-7)+(-2x^{3}+6x^{2}+4x-3)$
Next, we can combine like terms.
$(9x^{3}-2x^{3})+(-2x^{2}+6x^{2})+(4x+4x)+(-7-3)=7x^{3}+4x^{2}+8x-10$
