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Question
Sum of a – b + ab, b + c – bc and c – a – ac is ______.
Options
2c + ab – ac – bc
2c – ab – ac – bc
2c + ab + ac + bc
2c – ab + ac + bc
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Solution
Sum of a – b + ab, b + c – bc and c – a – ac is 2c + ab – ac – bc.
Explanation:
Required sum = (a – b + ab) + (b + c – bc) + (c – a – ac)
= a – b + ab + b + c – bc + c – a – ac
= 2c + ab – ac – bc ...[Adding the like terms and retaining others]
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