Factorise $(x+y)^{2} - (a+b)(x+y)$.

Factorise $(x+y)^{2} - (a+b)(x+y)$.
  1. $(x+y)(x+y-a-b)$
  2. $(x+y)(x+y+a+b)$
  3. $(x-y)(x+y-a-b)$
  4. $(x+y)^{2}(a+b)$

Solution

Take $(x+y)$ common: $(x+y)\big[(x+y) - (a+b)\big] = (x+y)(x+y-a-b)$.

Asked in: IMO

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