Question

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

Answer 1

Factorise the given expression:

The given expression is,

$p^2-10p+25=p^2-2\left(5p\right)+5^2$

$={\left(p-5\right)}^2$ $\left[\because {\left(a-b\right)}^2=a^2-2ab+b^2\right]$

Hence, the factors are ${\left(p-5\right)}^2$.