Tap the blue circles to see an explanation.
| $$ \begin{aligned}8-5k^2-(7k^2+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8-5k^2-7k^2-5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12k^2+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7k^2+5 \right) = -7k^2-5 $$ |
| ② | Combine like terms: $$ \color{blue}{8} \color{red}{-5k^2} \color{red}{-7k^2} \color{blue}{-5} = \color{red}{-12k^2} + \color{blue}{3} $$ |