Answer
$$14x-3x^2-2(6x^2+6x^3)=-12x^3-15x^2+14x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}14x-3x^2-2(6x^2+6x^3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}14x-3x^2-(12x^2+12x^3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14x-3x^2-12x^2-12x^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-12x^3-15x^2+14x\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( 6x^2+6x^3\right) $ $$ \color{blue}{2} \cdot \left( 6x^2+6x^3\right) = 12x^2+12x^3 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 12x^2+12x^3 \right) = -12x^2-12x^3 $$ |
| ③ | Combine like terms: $$ 14x \color{blue}{-3x^2} \color{blue}{-12x^2} -12x^3 = -12x^3 \color{blue}{-15x^2} +14x $$ |
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