Answer
(p-2)(p-2)
Work Step by Step
Given the polynomial
$p^{2}$ - 4p + 4
*** We break of the middle term into two factors that add to give -4 and multiply to give +4. The two numbers are -2 and -2.
$p^{2}$ - 2p - 2p + 4
We take the GCD of the first two and the GCD of the last two terms.
p(p-2)-2(p-2)
We take (p-2) and factor it out which gives us.
(p-2)(p-2)
