SOLUTION: I am trying to figure out how to factor the difference of two cubes of n^6 - 343= I know your look for Gcf but their isnt what would i do if their isn one??

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Question 312922: I am trying to figure out how to factor the difference of two cubes of
n^6 - 343= I know your look for Gcf but their isnt what would i do if their isn one??

Found 2 solutions by Earlsdon, scott8148:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two cubes is factored as follows:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29, so...
n%5E6-343+=+%28n%5E2%29%5E3-%287%29%5E3 and...
%28n%5E2%29%5E3-%287%29%5E3+=+%28n%5E2-7%29%28n%5E4%2B7n%5E2%2B49%29

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
from google (where else...)
"An expression of the form a^3 - b^3 . The difference of two cubes factors into (a - b)(a^2 + ab + b^2)"

343 is 7^3

(n^2 - 7)(n^4 + 7n^2 + 49)