Factor the binomial or identify it as prime.
2z4 – 2
a. 2(z2 + 1)(z2 – 1)
b. 2(z2 + 1)(z – 1)(z + 1)
c. prime
d. 2(z2 + 1)2

The correct answer is B,

Step-by-step explanation:

Since the higher value of z's power, is 4, an even number, and the second number is negative, we can think that this binomial is made of a difference of squares, so that is what we are going to factorize.

First, extract the common number (if any), the number 2, we have now>

This is convenient since "1" is a wonderful number that has this feature> No matters what n's value is,

so the first equation can be written as

The later termn, can also be factorized, using the same as befre.

Remember that