Answer
$$5x^3+5(2x^2-3x^3)=-10x^3+10x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^3+5(2x^2-3x^3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^3+10x^2-15x^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10x^3+10x^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5} $ by $ \left( 2x^2-3x^3\right) $ $$ \color{blue}{5} \cdot \left( 2x^2-3x^3\right) = 10x^2-15x^3 $$ |
| ② | Combine like terms: $$ \color{blue}{5x^3} +10x^2 \color{blue}{-15x^3} = \color{blue}{-10x^3} +10x^2 $$ |
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