Factorise $5(2x-3)^{2} - 10(2x-3)$.

Factorise $5(2x-3)^{2} - 10(2x-3)$.
  1. $5(2x-3)(2x-5)$
  2. $5(2x-3)(2x-1)$
  3. $10(2x-3)(x-1)$
  4. $5(2x-3)^{2}(2x-3)$

Solution

Take $5(2x-3)$ common: $5(2x-3)\big[(2x-3)-2\big] = 5(2x-3)(2x-5)$.

Asked in: IMO

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