Factor completely x8 − 16.

A: (x4 − 4)(x4 + 4)
B: (x2 − 2)(x2 + 2)(x4 + 4)
C: (x2 − 2)(x2 + 2)(x4 − 4)
D: (x2 − 2)(x2 − 2)(x4 − 4)

B

Step-by-step explanation:

Hence, option B is the correct answer.

B

Step-by-step explanation:

x^8 - 16

(x^4)^2 - 4^2

(x^4 + 4) (x^4 - 4)

(x^4 + 4) ((x^2)^2 - 2^2)

(x^4 + 4) ((x^2 + 2) x^2 - 2))

(x^4 + 4) (x^2 + 2) (x^2 - 2)

Rearrange based on choices

(x^2 - 2) (x^2 + 2) (x^4 + 4)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.