Question
Answer
$$-2b-3(2b+1)=-8b-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2b-3(2b+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2b-(6b+3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2b-6b-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8b-3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3} $ by $ \left( 2b+1\right) $ $$ \color{blue}{3} \cdot \left( 2b+1\right) = 6b+3 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6b+3 \right) = -6b-3 $$ |
| ③ | Combine like terms: $$ \color{blue}{-2b} \color{blue}{-6b} -3 = \color{blue}{-8b} -3 $$ |
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