Answer
$$4x^3-2x-2(4x\cdot3-2x\cdot4)=4x^3-10x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4x^3-2x-2(4x\cdot3-2x\cdot4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^3-2x-2(12x-8x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}4x^3-2x-2\cdot4x \xlongequal{ } \\[1 em] & \xlongequal{ }4x^3-2x-8x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}4x^3-10x\end{aligned} $$ | |
| ① | $$ 4 x \cdot 3 = 12 x $$ |
| ② | $$ 2 x \cdot 4 = 8 x $$ |
| ③ | Combine like terms: $$ \color{blue}{12x} \color{blue}{-8x} = \color{blue}{4x} $$ |
| ④ | Combine like terms: $$ 4x^3 \color{blue}{-2x} \color{blue}{-8x} = 4x^3 \color{blue}{-10x} $$ |
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