Factor completely 16x8 − 1.
(4x4 − 1)(4x4 + 1)
(2x2 − 1)(2x2 + 1)(4x4 + 1)
(2x2 − 1)(2x2 + 1)(2x2 + 1)(2x2 + 1)
(2x2 − 1)(2x2 + 1)(4x4 − 1)

Given:

The given expression is

We need to determine the factor of the given expression.

Factor:

Let us rewrite the given expression.

Thus, we have;

Since, the above expression is of the form , let us apply the identity

Thus, we have;

------ (1)

Now, we shall factor the term

Substituting the above expression in equation (1), we have;

Therefore, the factor of the given expression is

Hence, Option B is the correct answer.