SOLUTION: this was on my test: Factor completely 8x(Cubed)-27 in words: eight x cubed minus twenty seven

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Question 74451: this was on my test:
Factor completely

8x(Cubed)-27
in words:
eight x cubed minus twenty seven
Found 2 solutions by SMART/HELP, Earlsdon:
Answer by SMART/HELP(1) About Me  (Show Source):
You can put this solution on YOUR website!
8x-27^2
this is the same as if you just do this:
8x27^2=
the you add the negative into it

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
8x%5E3-27 Do you recognise this as the difference of two cubes?
%282x%29%5E3-%283%29%5E3 There is a form for factoring the difference of two cubes:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 Applying this to your case: A=2x and B+=+3
%282x%29%5E3-%283%29%5E3+=+%282x-3%29%28%282x%29%5E2%2B%282x%29%283%29%2B3%5E2%29 Simplifying this:
8x%5E3-27+=+%282x-3%29%284x%5E2%2B6x%2B9%29 This is it!
Sometimes, it is possible to factor the second set of parentheses but in this case, that's not possible.