Question

# Add : $5m-7n,3n-4m+2,2m-3mn-5$

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Solution

## Add the given terms:Given, $5m-7n,3n-4m+2,2m-3mn-5$On combining the like terms and adding them we get,$\begin{array}{rcl}& =& 5m–7n+\left(3n–4m+2\right)+\left(2m–3mn–5\right)\\ & =& 5m–7n+3n–4m+2+2m–3mn–5\\ & =& 5m–4m+2m–7n+3n–3mn+2–5\\ & =& m\left(5–4+2\right)+n\left(-7+3\right)–3mn+\left(2–5\right)\\ & =& m\left(3\right)+n\left(-4\right)–3mn+\left(-3\right)\\ & =& 3m–4n–3mn–3\end{array}$Hence, the sum obtained is $\begin{array}{rcl}& & 3m–4n–3mn–3\end{array}$ .

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