Answer:
16 (x^2 - 2 y^4) (x^2 + 2 y^4)
Step-by-step explanation:
Factor the following:
16 x^4 - 64 y^8
Factor 16 out of 16 x^4 - 64 y^8:
16 (x^4 - 4 y^8)
x^4 - 4 y^8 = (x^2)^2 - (2 y^4)^2:
16 (x^2)^2 - (2 y^4)^2
Factor the difference of two squares. (x^2)^2 - (2 y^4)^2 = (x^2 - 2 y^4) (x^2 + 2 y^4):
Answer: 16 (x^2 - 2 y^4) (x^2 + 2 y^4)
