Factor the polynomial If the polynomial cannot be factored, write prime.?

n^2 - 16n + 64
= n^2 - 8n - 8n + 64
= (n^2 - 8n) - (8n - 64)
= n(n - 8) - 8(n - 8)
= (n - 8)(n - 8)
= (n - 8)^2

in this case the polynomial can be factored

n^2-16n+64

(n-8)^2

n=8 twice

factorising n^2 - 16n + 64,
it can be written as
(n)^2 - 2 * 8 n + (8)^2
using the identity a^2 - 2*a*b + b^2 = (a-b)^2
=>(n-8)^2
= (n-8)(n-8)
you can also call n^2 - 16n + 64, and 1 to be its factor.
hope it helps

(n-8)^2

n^2-16n+64 = (n - 8)^2 = (n - 8)*(n - 8)

This is a perfect trinomial square. (n-8)²