Question
Answer
$$(3x-15)(20x^2-10x)=60x^3-330x^2+150x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3x-15)(20x^2-10x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}60x^3-30x^2-300x^2+150x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}60x^3-330x^2+150x\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{3x-15}\right) $ by each term in $ \left( 20x^2-10x\right) $. $$ \left( \color{blue}{3x-15}\right) \cdot \left( 20x^2-10x\right) = 60x^3-30x^2-300x^2+150x $$ |
| ② | Combine like terms: $$ 60x^3 \color{blue}{-30x^2} \color{blue}{-300x^2} +150x = 60x^3 \color{blue}{-330x^2} +150x $$ |
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