Factorise $x^{2} + 10x + 25$.

Factorise $x^{2} + 10x + 25$.
  1. $(x + 5)^{2}$
  2. $(x - 5)^{2}$
  3. $(x + 5)(x - 5)$
  4. $(x + 25)(x + 1)$

Solution

$x^{2}+10x+25 = x^{2}+2 \cdot x \cdot 5 + 5^{2} = (x+5)^{2}$.

Asked in: IMO

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