Question
Answer
$$17x-3x^2-2(x-2x^2)=x^2+15x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}17x-3x^2-2(x-2x^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}17x-3x^2-(2x-4x^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}17x-3x^2-2x+4x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}x^2+15x\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( x-2x^2\right) $ $$ \color{blue}{2} \cdot \left( x-2x^2\right) = 2x-4x^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x-4x^2 \right) = -2x+4x^2 $$ |
| ③ | Combine like terms: $$ \color{blue}{17x} \color{red}{-3x^2} \color{blue}{-2x} + \color{red}{4x^2} = \color{red}{x^2} + \color{blue}{15x} $$ |
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