Factorise $x^{2} - 14x + 49$.

Factorise $x^{2} - 14x + 49$.
  1. $(x - 7)^{2}$
  2. $(x + 7)^{2}$
  3. $(x - 7)(x + 7)$
  4. $(x - 14)(x - 1)$

Solution

$x^{2}-14x+49 = x^{2}-2 \cdot x \cdot 7 + 7^{2} = (x-7)^{2}$.

Asked in: IMO

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