Question
Answer
$$9w^2+9w+5+3w^2+2w+9-(4w^2+3w-8)=8w^2+8w+22$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9w^2+9w+5+3w^2+2w+9-(4w^2+3w-8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12w^2+11w+14-(4w^2+3w-8) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12w^2+11w+14-4w^2-3w+8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8w^2+8w+22\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{9w^2} + \color{red}{9w} + \color{green}{5} + \color{blue}{3w^2} + \color{red}{2w} + \color{green}{9} = \color{blue}{12w^2} + \color{red}{11w} + \color{green}{14} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4w^2+3w-8 \right) = -4w^2-3w+8 $$ |
| ③ | Combine like terms: $$ \color{blue}{12w^2} + \color{red}{11w} + \color{green}{14} \color{blue}{-4w^2} \color{red}{-3w} + \color{green}{8} = \color{blue}{8w^2} + \color{red}{8w} + \color{green}{22} $$ |
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