Question
Answer
$$-4x(-2x^2+9x-3)=8x^3-36x^2+12x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-4x(-2x^2+9x-3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(-8x^3+36x^2-12x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8x^3-36x^2+12x\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4x} $ by $ \left( -2x^2+9x-3\right) $ $$ \color{blue}{4x} \cdot \left( -2x^2+9x-3\right) = -8x^3+36x^2-12x $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-8x^3+36x^2-12x \right) = 8x^3-36x^2+12x $$ |
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