Mathematics

a(x - y)2 - by + bx is equal to :

  1. (x - y) (ax + by + b)

  2. (x - y) (ax + by - b)

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

  4. (x - y) (ax - ay + b)

Factorisation

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Answer

a(x - y)2 - by + bx

= a(x - y)2 - (by - bx)

= a(x - y)2 - b(y - x)

= a(x - y)2 + b(x - y)

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

= (x - y)(ax - ay + b)

Hence, option 4 is the correct option.

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