Help please

Question

Completely factor the following expression.

 

        2                2

256z    - 4 - 192z   +3

Answer 1

First collect like terms:

 

256z² - 4 - 192z² +3

64z² - 1

 

Then notice that this is the difference between two squares: 

 

(8z)² - 1²

 

So it can be factored this way:

 

(8z + 1)(8z - 1)