# Q : 3     Simplify.            (viii) $(a+b+c)(a+b-c)$

(a + b + c) X (a + b - c)  = a  X (a + b - c) + b  X (a + b - c) + c  X (a + b - c)
= $a^{2}$ + ab - ac + ab + $b^{2}$ -bc + ac + bc - $c^{2}$
= $a^{2}$ + $b^{2}$  - $c^{2}$ + 2ab

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