How do perfect square trinomials factor? give an example how do difference of squares factor? give an example

A  trinomial  is a  perfect square trinomial  if it can be factored into a binomial multiplied to itself.  (x  + 6)^2  =  x^2  +  12x  +  36 is an example  x^2  is the square of  x.12x  is   twice the product  of  x  with 6.   (x·  6 = 6x.   twice that is 12x.)36  is the square of 6.x^2  + 12x  + 36 is called a  perfect square trinomial    which is the square of a binomial.difference of squares  problem  can  be factored as follows: a2  – b2  = (a + b)(a – b) or (a – b)(a + b).  x²-25 can be factored as (x+5)(x-5)