#### Answer

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

#### Work Step by Step

Initial equation: $$(p^{3}-4p^{2}+p)-(3p^{2}+2p+7)$$ Then distribute the $-$ sign to the second set of parenthesis: $$p^{3}-4p^{2}+p-3p^{2}-2p-7$$ Combine like terms to arrive at the final answer: $$p^{3}-7p^{2}-p-7$$