SOLUTION: Does anyone know how to do this type of problem? I am stuck, and would appreciate any help. Thanks! Factor s^6-729

Question 599123: Does anyone know how to do this type of problem? I am stuck, and would appreciate any help. Thanks!
Factor
s^6-729
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

Now factor to get (using the difference of squares rule)

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Answer:
So factors to .

In other words, for all values of 's'

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