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Question 8Sum...

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Question 8

Sum of $a - b + a b, b + c - b c$ and $c - a - a c$ is
a) $2 c + a b - a c - b c$
b) $2 c - a b - a c - b c$
c) $2 c + a b + a c + b c$
d) $2 c - a b + a c + b c$

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Solution

a) $2 c + a b - a c - b c$

$\to$ Required sum = $(a - b + a b) + (b + c - b c) + (c - a - a c) = a - b + a b + b + c - b c + c - a - a c [a d d i n g t h e l i k e t e r m s a n d r e t a i n i n g o t h e r s] = 2 c + a b - a c - b c$

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