Answer
$$5-8k-(8k-13+2k^2)=-2k^2-16k+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5-8k-(8k-13+2k^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5-8k-8k+13-2k^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2k^2-16k+18\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8k-13+2k^2 \right) = -8k+13-2k^2 $$ |
| ② | Combine like terms: $$ \color{blue}{5} \color{red}{-8k} \color{red}{-8k} + \color{blue}{13} -2k^2 = -2k^2 \color{red}{-16k} + \color{blue}{18} $$ |
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