Show ALL of your work
Factor each of the following as a difference of squares.

a) x^2−36

b) z^2−49

c) y^2−81

d) b^2−4

d) −w^2 +1

e) 4a^2−36

f) t^2−9

g) 5x^2−45y^2

What is a difference of squares that has a factor of ? 

Which products result in a difference of squares?

Two squares have areas whose positive difference is numericallyequal to the sum of their perimeters. What is the difference oftheir perimeter? Show all your work and explain your steps. Draw apicture.