Answer
$$7n^6+5n^8+4-(4n^6-2n^8+1)=7n^8+3n^6+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7n^6+5n^8+4-(4n^6-2n^8+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7n^6+5n^8+4-4n^6+2n^8-1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7n^8+3n^6+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4n^6-2n^8+1 \right) = -4n^6+2n^8-1 $$ |
| ② | Combine like terms: $$ \color{blue}{7n^6} + \color{red}{5n^8} + \color{green}{4} \color{blue}{-4n^6} + \color{red}{2n^8} \color{green}{-1} = \color{red}{7n^8} + \color{blue}{3n^6} + \color{green}{3} $$ |
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