Factor completely, then place the answer in the proper location on the grid. 16x^4 - 64y^8

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)