Answer
$$7v-v^2+14-(15+8v+v^2)=-2v^2-v-1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7v-v^2+14-(15+8v+v^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7v-v^2+14-15-8v-v^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2v^2-v-1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 15+8v+v^2 \right) = -15-8v-v^2 $$ |
| ② | Combine like terms: $$ \color{blue}{7v} \color{red}{-v^2} + \color{green}{14} \color{green}{-15} \color{blue}{-8v} \color{red}{-v^2} = \color{red}{-2v^2} \color{blue}{-v} \color{green}{-1} $$ |
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