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