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Mathematics

x2 - (a - b) x - ab is equal to:

  1. (x - a) (x - b)

  2. (x + a) (x - b)

  3. (x - a) (x + b)

  4. (x + a) (x + b)

Factorisation

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Answer

x2 - (a - b) x - ab

= x2 - ax + bx - ab

= (x2 - ax) + (bx - ab)

= x(x - a) + b(x - a)

= (x - a)(x + b)

Hence, option 3 is the correct option.

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