Factorise $6x + 9$.

Factorise $6x + 9$.
  1. $3(2x + 3)$
  2. $3(2x + 9)$
  3. $6(x + 9)$
  4. $2(3x + 9)$

Solution

$\gcd(6,9)=3$. So $6x + 9 = 3 \cdot 2x + 3 \cdot 3 = 3(2x+3)$.

Asked in: IMO

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