Question
Answer
$$(3x+2)(-x\cdot2-4x-6)=-18x^2-30x-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3x+2)(-x\cdot2-4x-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(3x+2)(-6x-6) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-18x^2-18x-12x-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-18x^2-30x-12\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{-2x} \color{blue}{-4x} -6 = \color{blue}{-6x} -6 $$ |
| ② | Multiply each term of $ \left( \color{blue}{3x+2}\right) $ by each term in $ \left( -6x-6\right) $. $$ \left( \color{blue}{3x+2}\right) \cdot \left( -6x-6\right) = -18x^2-18x-12x-12 $$ |
| ③ | Combine like terms: $$ -18x^2 \color{blue}{-18x} \color{blue}{-12x} -12 = -18x^2 \color{blue}{-30x} -12 $$ |
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