Factorise $6xy - 4y + 6 - 9x$.

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

Solution

Rearrange and group: $6xy - 9x - 4y + 6 = 3x(2y-3) - 2(2y-3) = (2y-3)(3x-2)$.

Asked in: IMO

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