Factorise $a(x+y) + b(x+y)$.

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

Solution

Treat $(x+y)$ as a common factor (binomial GCD). $a(x+y) + b(x+y) = (x+y)(a+b)$.

Asked in: IMO

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