Answer
$$2a^2b-5b^3+4a^4b^2-(7b^3+8a^4b^2-7a^2b)=-4a^4b^2+9a^2b-12b^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2a^2b-5b^3+4a^4b^2-(7b^3+8a^4b^2-7a^2b)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2a^2b-5b^3+4a^4b^2-7b^3-8a^4b^2+7a^2b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4a^4b^2+9a^2b-12b^3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7b^3+8a^4b^2-7a^2b \right) = -7b^3-8a^4b^2+7a^2b $$ |
| ② | Combine like terms: $$ \color{blue}{2a^2b} \color{red}{-5b^3} + \color{green}{4a^4b^2} \color{red}{-7b^3} \color{green}{-8a^4b^2} + \color{blue}{7a^2b} = \color{green}{-4a^4b^2} + \color{blue}{9a^2b} \color{red}{-12b^3} $$ |
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