I was reading a proof in my textbook today and couldn't figure out why this is true:
$$ nq - mp = nq -mq +mq - mp$$
Any help would be appreciated.
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8The middle terms, $-mq+mq$ give you $0$. – David Mitra Feb 19 '14 at 15:11
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3$$ nq - mp = nq -mq +mq - mp = nq+(-mq +mq) - mp $$ – 5xum Feb 19 '14 at 15:14
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1Always remember, don't be fooled by variables. It's all math in the end. – Nick Feb 19 '14 at 15:46
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$$\begin{align} \color{darkgreen}{nq} \color{darkblue}{- mp} & = \color{darkgreen}{nq} \color{darkblue}{- mp} \color{darkred}{ + 0} \\ & = \color{darkgreen}{nq} \color{darkblue}{- mp} \color{darkred}{ - mq + mq} \\ & = \color{darkgreen}{nq} \color{darkred}{ - mq + mq} \color{darkblue}{- mp} \end{align} $$
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