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Addition and Subtraction of like Terms

Add : 5m - 7n...

Question

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

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Solution

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

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