Factoring perfect square trinomials

Question

Can someone explain perfect square trinomials and how you go about factoring them? Here is an example I could use help with. Thanks.

16b^2-64b+64

Answer 1

16b^2-64b+64

Recall the formula (a-b)^2 = a^2-2ab+b^2

Here a = 4b, b =8

=(4b-8)^2

Factoring trinomial 16b^2-64b+64 = (4b-8)(4b-8)