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