Factorise $50x^{3} - 18x$.

Factorise $50x^{3} - 18x$.
  1. $2x(5x - 3)(5x + 3)$
  2. $2x(5x - 3)^{2}$
  3. $2(5x - 3)(5x^{2} + 3)$
  4. $x(50x - 18)$

Solution

Take $2x$ common: $2x(25x^{2}-9) = 2x[(5x)^{2}-3^{2}] = 2x(5x-3)(5x+3)$.

Asked in: IMO

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