Question
Answer
$$x+x^2+x^2+x^4+{x^{10}}^4=x^{40}+x^4+2x^2+x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x+x^2+x^2+x^4+{x^{10}}^4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^4+2x^2+x+{x^{10}}^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^4+2x^2+x+x^{40} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}x^{40}+x^4+2x^2+x\end{aligned} $$ | |
| ① | Combine like terms: $$ x+ \color{blue}{x^2} + \color{blue}{x^2} +x^4 = x^4+ \color{blue}{2x^2} +x $$ |
| ② | $$ \left( x^{10} \right)^4 = 1^4 \left( x^{10} \right)^4 = x^{40} $$ |
| ③ | Combine like terms: $$ x^{40}+x^4+2x^2+x = x^{40}+x^4+2x^2+x $$ |
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