Question
Answer
$$7x+x^4+10-(9+7x-x^4)=2x^4+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x+x^4+10-(9+7x-x^4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x+x^4+10-9-7x+x^4 \xlongequal{ } \\[1 em] & \xlongequal{ } \cancel{7x}+x^4+10-9 -\cancel{7x}+x^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^4+1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9+7x-x^4 \right) = -9-7x+x^4 $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{7x}} \,+ \color{green}{x^4} + \color{orange}{10} \color{orange}{-9} \, \color{blue}{ -\cancel{7x}} \,+ \color{green}{x^4} = \color{green}{2x^4} + \color{orange}{1} $$ |
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