SOLUTION: fill in the missing.... z to the 3rd - 1 = ( )(z to the 2nd+z+1)

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Question 154163: fill in the missing....
z to the 3rd - 1 = ( )(z to the 2nd+z+1)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use this identity:
a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29
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z%5E3-1 can be factored into%28z-1%29%28z%5E2%2Bz%2B1%29.
So the missing part is z-1.