Add : $a + b - 3, b - a + 3, a - b + 3$

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Solution

To add : $a + b - 3, b - a + 3, a - b + 3$
Answer
On combining the like terms and adding them we get
$\begin{array}{rcl} = & a + b - 3 + (b - a + 3) + (a - b + 3) \\ = & a + b - 3 + b - a + 3 + a - b + 3 \\ = & a - a + a + b + b - b - 3 + 3 + 3 \\ = & a (1 - 1 + 1) + b (1 + 1 - 1) + (- 3 + 3 + 3) \\ = & a (2 - 1) + b (2 - 1) + (- 3 + 6) \\ = & a (1) + b (1) + (3) \\ = & a + b + 3 \end{array}$
So, On adding $a + b - 3, b - a + 3, a - b + 3$ we get $a + b + 3$ .

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