Question
Answer
$$5k^2-7k+9-(-2k+6k^2+11)=-k^2-5k-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5k^2-7k+9-(-2k+6k^2+11)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5k^2-7k+9+2k-6k^2-11 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-k^2-5k-2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -2k+6k^2+11 \right) = 2k-6k^2-11 $$ |
| ② | Combine like terms: $$ \color{blue}{5k^2} \color{red}{-7k} + \color{green}{9} + \color{red}{2k} \color{blue}{-6k^2} \color{green}{-11} = \color{blue}{-k^2} \color{red}{-5k} \color{green}{-2} $$ |
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