Question
Answer
$$7x-3(4x+2x^2)-7=-6x^2-5x-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x-3(4x+2x^2)-7& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x-(12x+6x^2)-7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7x-12x-6x^2-7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6x^2-5x-7\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 4x+2x^2\right) $ $$ \color{blue}{3} \cdot \left( 4x+2x^2\right) = 12x+6x^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 12x+6x^2 \right) = -12x-6x^2 $$ |
| ③ | Combine like terms: $$ \color{blue}{7x} \color{blue}{-12x} -6x^2-7 = -6x^2 \color{blue}{-5x} -7 $$ |
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