Tap the blue circles to see an explanation.
| $$ \begin{aligned}2b^3+5b^2-8-(4b^3+b-12)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2b^3+5b^2-8-4b^3-b+12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2b^3+5b^2-b+4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4b^3+b-12 \right) = -4b^3-b+12 $$ |
| ② | Combine like terms: $$ \color{blue}{2b^3} +5b^2 \color{red}{-8} \color{blue}{-4b^3} -b+ \color{red}{12} = \color{blue}{-2b^3} +5b^2-b+ \color{red}{4} $$ |