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harina [27]
3 years ago
5

Factor the binomial or identify it as prime.

Mathematics
2 answers:
Makovka662 [10]3 years ago
7 0
The answer to this problem is A
:)
In-s [12.5K]3 years ago
5 0

Answer:

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>

2*(z^{4}-1)

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

so the first equation 2*(z^{4}-1) can be written as (2*(z^{4}-1)=2*((z^{2})^{2}-1^{2})=2*(z^{2}-1)*(z^{2}+1)

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

(z^{2}-1)=(z-1)*(z+1)

Remember that z^{4}=(z^{2})^{2}

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