Question

subtract.\\((-p^{3}+7p^{2}+8)-(8p^{3}+6p^{2}+p - 7)\\)

Explanation:

Step1: Distribute the negative sign

$(-p^3 + 7p^2 + 8) - 8p^3 - 6p^2 - p + 7$

Step2: Combine like $p^3$ terms

$-p^3 - 8p^3 = -9p^3$

Step3: Combine like $p^2$ terms

$7p^2 - 6p^2 = p^2$

Step4: Isolate the $p$ term

$-p$

Step5: Combine constant terms

$8 + 7 = 15$

Step6: Assemble the simplified expression

$-9p^3 + p^2 - p + 15$

Answer:

$-9p^3 + p^2 - p + 15$