Question

Factorize $x^2-12x+36$.

Answer 1

Factorize ${\mathit{x}}^{\mathbf{2}}\mathbf{-}\mathbf{12}\mathit{x}\mathbf{+}\mathbf{36}$.

We can write the given expression as

$x^2-12x+36=x^2-6x-6x+36$

$=x(x-6)-6(x-6)$

$=\left(x-6\right)\left(x-6\right)$

$={\left(x-6\right)}^2$

Hence the factored expression is ${\left(x-6\right)}^{\mathbf{2}}$.