Mathematics

The sum of a - b + ab, b - c + bc and c - a + ca is:

  1. 0

  2. 2(a + b + c)

  3. ab + bc + ca

  4. none of these

Algebraic Expressions

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Answer

The sum of a - b + ab, b - c + bc and c - a + ca is,

= a - b + ab + b - c + bc + c - a + ca

= (a - a) + (- b + b) + ab + bc + ca.

= ab + bc + ca

Hence, option 3 is the correct option.

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