one factor of 2x^2-32y^2 is

Factor the following:
2 x^2 - 32 y^2
Factor 2 out of 2 x^2 - 32 y^2:
2 (x^2 - 16 y^2)
x^2 - 16 y^2 = x^2 - (4 y)^2:
2 (x^2 - (4 y)^2)
Factor the difference of two squares. x^2 - (4 y)^2 = (x - 4 y) (x + 4 y):
Answer:  2 (x - 4 y) (x + 4 y)