8) $(3p - 2p^{3}-p^{2})-(8p^{4}+7p^{3}+4p^{2})$ | Sovi AI

QUESTION IMAGE

$8) $(3p - 2p^{3}-p^{2})-(8p^{4}+7p^{3}+4p^{2})$$

Question

$(3p - 2p^{3}-p^{2})-(8p^{4}+7p^{3}+4p^{2})$

Explanation:

Step1: Remove parentheses

$3p - 2p^{3}-p^{2}-8p^{4}-7p^{3}-4p^{2}$

Step2: Combine like - terms

$-8p^{4}+(-2p^{3}-7p^{3})+(-p^{2}-4p^{2}) + 3p$
$=-8p^{4}-9p^{3}-5p^{2}+3p$

Answer:

$-8p^{4}-9p^{3}-5p^{2}+3p$