Answer
$$3x^{4}-4x^{2}+5$$
Work Step by Step
Initial equation:
$$(x^{4}-3x^{2}+2)-(-2x^{4}+x^{2}-3)$$ Start by distributing the negative to the second set of parenthesis that indicates subtraction:
$$x^{4}-3x^{2}+2+2x^{4}-x^{2}+3$$ Finally, combine like terms to arrive at the final answer:
$$3x^{4}-4x^{2}+5$$