Tap the blue circles to see an explanation.
$$ \begin{aligned}5x+3xy-8y-(y-6yx+2x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x+3xy-8y-y+6xy-2x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9xy+3x-9y\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( y-6xy+2x \right) = -y+6xy-2x $$ |
② | Combine like terms: $$ \color{blue}{5x} + \color{red}{3xy} \color{green}{-8y} \color{green}{-y} + \color{red}{6xy} \color{blue}{-2x} = \color{red}{9xy} + \color{blue}{3x} \color{green}{-9y} $$ |