Question
Answer
$$5d^2+2d^2-8d^3-(2d^2+5d)\cdot0=-8d^3+7d^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5d^2+2d^2-8d^3-(2d^2+5d)\cdot0& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8d^3+7d^2-(2d^2+5d)\cdot0 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8d^3+7d^2-(0d^2+0d) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8d^3+7d^2+0d^2+0d \xlongequal{ } \\[1 em] & \xlongequal{ }-8d^3+7d^20d^20d \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-8d^3+7d^2\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{5d^2} + \color{blue}{2d^2} -8d^3 = -8d^3+ \color{blue}{7d^2} $$ |
| ② | $$ \left( \color{blue}{2d^2+5d}\right) \cdot 0 = 0d^20d $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 0d^20d \right) = 0d^20d $$ |
| ④ | Combine like terms: $$ -8d^3+ \color{blue}{7d^2} \color{blue}{0d^2} 0d = -8d^3+ \color{blue}{7d^2} $$ |
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