Factorise $4y^{2} - 12y + 9$.

Factorise $4y^{2} - 12y + 9$.
  1. $(2y - 3)^{2}$
  2. $(2y + 3)^{2}$
  3. $(2y - 3)(2y + 3)$
  4. $(4y - 3)(y - 3)$

Solution

$4y^{2}-12y+9 = (2y)^{2} - 2 \cdot 2y \cdot 3 + 3^{2} = (2y-3)^{2}$.

Asked in: IMO

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