Answer
$(x-6)(x-6)$
Work Step by Step
The given expression, $
x^2-12x+36
,$ has $c=
36
$ and $b=
-12
.$
The possible factors of $c$ are $
\{ 1,36 \}
,\{ 2,18 \}
,\{ 3,12 \}
,\{ 4,9 \}
,\{ 6,6 \}
,\{ -1,-36 \}
,\{ -2,-18 \}
,\{ -3,-12 \}
,\{ -4,-9 \}
,\{ -6,-6 \}$. Among these factors, the pair whose sum is equal to $b$ is $\{
-6,-6
\}.$ Hence, the factored form is
\begin{array}{l}\require{cancel}
(x-6)(x-6)
.\end{array}
