SOLUTION: factor 81b^6-3d^6

Question 265700: factor 81b^6-3d^6
Found 2 solutions by drk, stanbon:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Here is the original problem.

we can rewrite this as

we see a GCF of 3, so taking that out, we get

in the parentheses we can rewrite as

this is a difference of cubes and we get

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor 81b^6-3d^6
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= 3(9b^6 - d^6)
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= 3(3b^3-d^3)(3b^3+d^3)
==========================
Note: The difference and the sum of cubes can be factored
but I am not sure you want the problem to go to that level.
==========================
Cheers,
Stan H.
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