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