Factorise the expression: p^2– 10p + 25 - Vidyadip

Question

Factorise the expression: $p^2– 10p + 25$

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Answer

$p^2-10 p+25=p^2+(-5-5) p+(-5)(-5)$
Using identity $x^2+(a+b) x+a b=(x+a)(x+b)$,
Here $x = p, a = -5$ and $b = -5$
So, $p^2-10 p+25=(p-5)(p-5)$

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