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simplify each expression. 1) (8p - 3p^4 + 8) - (3p^4 - 7 + p)

Question

simplify each expression.

  1. (8p - 3p^4 + 8) - (3p^4 - 7 + p)

Explanation:

Step1: Remove parentheses

\[

$$\begin{align*} &(8p - 3p^{4}+8)-(3p^{4}-7 + p)\\ =&8p - 3p^{4}+8 - 3p^{4}+7 - p \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} &(-3p^{4}- 3p^{4})+(8p - p)+(8 + 7)\\ =&-6p^{4}+7p + 15 \end{align*}$$

\]

Answer:

\(-6p^{4}+7p + 15\)