Question
Answer
$$5-6a^4+a^4+2-(6a^2-4+4a)=-5a^4-6a^2-4a+11$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5-6a^4+a^4+2-(6a^2-4+4a)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5a^4+7-(6a^2-4+4a) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5a^4+7-6a^2+4-4a \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-5a^4-6a^2-4a+11\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{5} \color{red}{-6a^4} + \color{red}{a^4} + \color{blue}{2} = \color{red}{-5a^4} + \color{blue}{7} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6a^2-4+4a \right) = -6a^2+4-4a $$ |
| ③ | Combine like terms: $$ -5a^4+ \color{blue}{7} -6a^2+ \color{blue}{4} -4a = -5a^4-6a^2-4a+ \color{blue}{11} $$ |
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