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