SOLUTION: factor b^6-1
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Question 168970: factor b^6-1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Rewrite as . Rewrite as .
Now factor by using the difference of cubes formula. Remember the difference of cubes formula is
Multiply
Factor to get (by use of the difference of squares)
Factor to get
-----------------------------------
Answer:
So completely factors to .
In other words,
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