Answer
$2x^{3}+3x^{2}+7x-5$
Work Step by Step
The sum of $(4x^{3}+x^{2})$ and ($-x^{3}+7x-3)$ is
$ \begin{array}{lllll}
& 4x^{3} & +x^{2} & & \\
+( & -x^{3} & & +7x & -3)\\
\hline & & & & \\
= & 3x^{3} & +x^{2} & +7x & -3\\
& & & &
\end{array} $
Subtract $(x^{3}-2x^{2}+2)$ from the above sum;
$ \begin{array}{lllll}
& 3x^{3} & +x^{2} & +7x & -3\\
-( & x^{3} & -2x^{2} & & +2)\\
\hline & & & & \\
= & 2x^{3} & +3x^{2} & +7x & -5
\end{array} $
