Tap the blue circles to see an explanation.
$$ \begin{aligned}5r-2s-(9r-11s)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5r-2s-9r+11s \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4r+9s\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9r-11s \right) = -9r+11s $$ |
② | Combine like terms: $$ \color{blue}{5r} \color{red}{-2s} \color{blue}{-9r} + \color{red}{11s} = \color{blue}{-4r} + \color{red}{9s} $$ |