What does 6x^2 - 24y^2 equal too

Simplify the following:

6 x^2 - 24 y^2

Factor 6 out of 6 x^2 - 24 y^2:

6 (x^2 - 4 y^2)

x^2 - 4 y^2 = x^2 - (2 y) ^2:

6 (x^2 - (2 y) ^2)

Factor the difference of two squares. x^2 - (2 y) ^2 = (x - 2 y) (x + 2 y):

Answer: 6 (x - 2 y) (x + 2 y)