Answer
$$5d^2+2d^2-8d^3-(2d^2+5d)=-8d^3+5d^2-5d$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5d^2+2d^2-8d^3-(2d^2+5d)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8d^3+7d^2-(2d^2+5d) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8d^3+7d^2-2d^2-5d \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8d^3+5d^2-5d\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{5d^2} + \color{blue}{2d^2} -8d^3 = -8d^3+ \color{blue}{7d^2} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2d^2+5d \right) = -2d^2-5d $$ |
| ③ | Combine like terms: $$ -8d^3+ \color{blue}{7d^2} \color{blue}{-2d^2} -5d = -8d^3+ \color{blue}{5d^2} -5d $$ |
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