Factorise $x^{2} + xy + 5x + 5y$.

Factorise $x^{2} + xy + 5x + 5y$.
  1. $(x+y)(x+5)$
  2. $(x-y)(x+5)$
  3. $(x+y)(x-5)$
  4. $(x+5y)(x+1)$

Solution

Group: $x(x+y)+5(x+y)=(x+y)(x+5)$.

Asked in: IMO

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