Tap the blue circles to see an explanation.
| $$ \begin{aligned}5a^2-9a-4-(8a^2+a+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5a^2-9a-4-8a^2-a-3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3a^2-10a-7\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8a^2+a+3 \right) = -8a^2-a-3 $$ |
| ② | Combine like terms: $$ \color{blue}{5a^2} \color{red}{-9a} \color{green}{-4} \color{blue}{-8a^2} \color{red}{-a} \color{green}{-3} = \color{blue}{-3a^2} \color{red}{-10a} \color{green}{-7} $$ |