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)

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.