Tap the blue circles to see an explanation.
| $$ \begin{aligned}9k^2+5k+8-(9k^2+k+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9k^2+5k+8-9k^2-k-8 \xlongequal{ } \\[1 em] & \xlongequal{ } \cancel{9k^2}+5k+ \cancel{8} -\cancel{9k^2}-k -\cancel{8} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4k\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9k^2+k+8 \right) = -9k^2-k-8 $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{9k^2}} \,+ \color{green}{5k} + \, \color{orange}{ \cancel{8}} \, \, \color{blue}{ -\cancel{9k^2}} \, \color{green}{-k} \, \color{orange}{ -\cancel{8}} \, = \color{green}{4k} $$ |