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