Factorise the following expression:
$p^{2} - 10 p + 25$

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Solution

$p^{2} - 10 p + 25 = (p)^{2} - 2 \times p \times 5 + (5)^{2} = (p - 5)^{2} [U s i n g t h e i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$

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