SOLUTION: factorize 64 - (b-2)^3

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Question 167733: factorize
64 - (b-2)^3

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let

So the expression then becomes


---------------------------


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


Note: in this case, and



Multiply


Plug in


FOIL


Distribute


Combine like terms.


Factor a negative 1 from to get



==========================================

Answer:


So factors to

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