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