SOLUTION: Factor completely 5x^8 - 1280

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Question 173194This question is from textbook Introductory Algebra
: Factor completely
5x^8 - 1280 This question is from textbook Introductory Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
5x%5E8-1280 First, factor 5 from the binomial.
5%28x%5E8-256%29 Notice now that you have the difference of squares:
5%28highlight%28%28x%5E4%29%5E2-%2816%29%5E2%29%29...and this can be factored as:
5highlight%28%28x%5E4-16%29%29%28x%5E4%2B16%29...which can be further factored as:
5highlight%28%28x%5E2-4%29%29%28x%5E2%2B4%29%28x%5E4%2B16%29...and...
highlight%285%28x-2%29%28x%2B2%29%28x%5E2%2B4%29%28x%5E4%2B16%29%29