Question
Answer
$$-clmno-lnccm-lccom-lcccm+omn+lno+lnc=-c^3lm-c^2lmn-c^2lmo-clmno+cln+lno+mno$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-clmno-lnccm-lccom-lcccm+omn+lno+lnc& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-clmno-c^2lmn-c^2lmo-c^3lm+mno+lno+cln \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-c^3lm-c^2lmn-c^2lmo-clmno+cln+lno+mno\end{aligned} $$ | |
| ① | $$ l n c c m = c^{1 + 1} l m n = c^2 l m n $$ |
| ② | $$ l c c o m = c^{1 + 1} l m o = c^2 l m o $$ |
| ③ | $$ l c c c m = c^{1 + 1 + 1} l m = c^3 l m $$ |
| ④ | Combine like terms: $$ -c^3lm-c^2lmn-c^2lmo-clmno+cln+lno+mno = -c^3lm-c^2lmn-c^2lmo-clmno+cln+lno+mno $$ |
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