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)