Factorise $ax + ay + bx + by$.

Factorise $ax + ay + bx + by$.
  1. $(a+b)(x+y)$
  2. $(a-b)(x+y)$
  3. $(a+b)(x-y)$
  4. $(ax+by)(x+y)$

Solution

Group: $(ax+ay)+(bx+by) = a(x+y) + b(x+y) = (a+b)(x+y)$.

Asked in: IMO

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