Question
Answer
$$-3x^2(2x-5)=-6x^3+15x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3x^2(2x-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(6x^3-15x^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6x^3+15x^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3x^2} $ by $ \left( 2x-5\right) $ $$ \color{blue}{3x^2} \cdot \left( 2x-5\right) = 6x^3-15x^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(6x^3-15x^2 \right) = -6x^3+15x^2 $$ |
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