Factorise $12a^{2}b - 18ab^{2}$.

Factorise $12a^{2}b - 18ab^{2}$.
  1. $6ab(2a - 3b)$
  2. $6ab(2a + 3b)$
  3. $6(2a^{2}b - 3ab^{2})$
  4. $3ab(4a - 6b)$

Solution

GCD of $12a^{2}b$ and $18ab^{2}$ is $6ab$. $12a^{2}b - 18ab^{2} = 6ab(2a - 3b)$.

Asked in: IMO

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