Answer
$$4p^3-2p^2-(5p^3+7p^2)=-p^3-9p^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4p^3-2p^2-(5p^3+7p^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4p^3-2p^2-5p^3-7p^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-p^3-9p^2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5p^3+7p^2 \right) = -5p^3-7p^2 $$ |
| ② | Combine like terms: $$ \color{blue}{4p^3} \color{red}{-2p^2} \color{blue}{-5p^3} \color{red}{-7p^2} = \color{blue}{-p^3} \color{red}{-9p^2} $$ |
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