Question 754133:  Factor 
x^4 - 81 
 Answer by nerdybill(7384)      (Show Source): 
You can  put this solution on YOUR website! x^4 - 81 
can be rewritten as: 
(x^2)^2 - (9)^2 
this is a "difference of squares" (special case factors to): 
(x^2 - 9)(x^2 + 9) 
But, the left term can be rewritten as: 
(x^2 - 3^2)(x^2 + 9) 
another "difference of squares": 
(x-3)(x+3)(x^2+9)   (final factored form) 
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