Answer
$3x^{5}-7x^{4}+4x^{3}+8x^{2}-4x+8$
Work Step by Step
Distribute using terms of the first parentheses:
$...=x^{3}(3x^{2}-x+2)-2x^{2}(3x^{2}-x+2)+4(3x^{2}-x+2)$
$=3x^{5}-x^{4}+2x^{3}-6x^{4}+2x^{3}-4x^{2}+12x^{2}-4x+8$
gather like terms:
$-x^{4}-6x^{4}=-7x^{4}$
$+2x^{3}+2x^{3}=4x^{3}$
$-4x^{2}+12x^{2}=8x^{2}$
$=3x^{5}-7x^{4}+4x^{3}+8x^{2}-4x+8$