Question
Answer
$$(-4x\cdot2+9x\cdot3+2x)(-6x\cdot3+7x-2)=-231x^2-42x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-4x\cdot2+9x\cdot3+2x)(-6x\cdot3+7x-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}(-8x+27x+2x)(-18x+7x-2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}21x(-11x-2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-231x^2-42x\end{aligned} $$ | |
| ① | $$ 4 x \cdot 2 = 8 x $$ |
| ② | $$ 9 x \cdot 3 = 27 x $$$$ 6 x \cdot 3 = 18 x $$ |
| ③ | Combine like terms: $$ \color{blue}{-8x} + \color{red}{27x} + \color{red}{2x} = \color{red}{21x} $$Combine like terms: $$ \color{blue}{-18x} + \color{blue}{7x} -2 = \color{blue}{-11x} -2 $$ |
| ④ | Multiply $ \color{blue}{21x} $ by $ \left( -11x-2\right) $ $$ \color{blue}{21x} \cdot \left( -11x-2\right) = -231x^2-42x $$ |
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