Answer
$$5k^2-9k+1-(8k+13)=5k^2-17k-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5k^2-9k+1-(8k+13)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5k^2-9k+1-8k-13 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5k^2-17k-12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8k+13 \right) = -8k-13 $$ |
| ② | Combine like terms: $$ 5k^2 \color{blue}{-9k} + \color{red}{1} \color{blue}{-8k} \color{red}{-13} = 5k^2 \color{blue}{-17k} \color{red}{-12} $$ |
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