Factorise $15a^{2}bc - 25ab^{2}c + 35abc^{2}$.

Factorise $15a^{2}bc - 25ab^{2}c + 35abc^{2}$.
  1. $5abc(3a - 5b + 7c)$
  2. $5abc(3a + 5b + 7c)$
  3. $5(3a^{2}bc - 5ab^{2}c + 7abc^{2})$
  4. $abc(15a - 25b + 35c)$

Solution

GCD is $5abc$. $15a^{2}bc - 25ab^{2}c + 35abc^{2} = 5abc(3a - 5b + 7c)$.

Asked in: IMO

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