SOLUTION: factor 4a^4b^8c^6-49d^8

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Question 169000: factor 4a^4b^8c^6-49d^8
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
4a%5E4b%5E8c%5E6+-+49d%5E8 This expression can be written as the difference of squares:
%282a%5E2b%5E4c%5E3%29%5E2+-+%287d%5E4%29%5E2
The difference of squares can be factored thus:
A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29, so...
4a%5E4b%5E8c%5E6-49d%5E8+=+%282a%5E2b%5E4c%5E3-7d%5E4%29%282a%5E2b%5E4c%5E3%2B7d%5E4%29