Answer
7x$^4$-2x$^3$+3x$^2$-x+2
Work Step by Step
Distribute the negative to the parentheses and then combine like terms vertically.
$\quad7x^4-3x^3+2x^2$
$\underline{-(\qquad-\;x^3-x^2+x+2)}$
$\qquad\qquad\quad\downarrow$
$7x^4-3x^3+2x^2$
$\underline{\qquad+\;x^3+x^2-x-2)}$
$7x^4-2x^3+3x^2-x-2$