Question
Answer
$$h^6t^0+h^5+t^1+h^4t^2+h^3t^3+h^2t^4h^1t^5+h^0t^6=h^3t^9+h^6+h^4t^2+h^3t^3+t^6+h^5+t$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}h^6t^0+h^5+t^1+h^4t^2+h^3t^3+h^2t^4h^1t^5+h^0t^6& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}h^6+h^5+t+h^4t^2+h^3t^3+h^2t^4h^1t^5+h^0t^6 \xlongequal{ } \\[1 em] & \xlongequal{ }h^6+h^5+t+h^4t^2+h^3t^3+h^3t^9+h^0t^6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}h^3t^9+h^6+h^4t^2+h^3t^3+t^6+h^5+t\end{aligned} $$ | |
| ① | Combine like terms: $$ h^6+h^5+t = h^6+h^5+t $$ |
| ② | Combine like terms: $$ h^3t^9+h^6+h^4t^2+h^3t^3+t^6+h^5+t = h^3t^9+h^6+h^4t^2+h^3t^3+t^6+h^5+t $$ |
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