SOLUTION: Factor 54k^3m-16m^3 You can factor out a 2m and make it 2m(27k^3-8m^3), right? But is that it? Can it be factored more? Thank you in advance.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor 54k^3m-16m^3 You can factor out a 2m and make it 2m(27k^3-8m^3), right? But is that it? Can it be factored more? Thank you in advance.      Log On


   

Question 1099335: Factor 54k^3m-16m^3

You can factor out a 2m and make it 2m(27k^3-8m^3), right? But is that it? Can it be factored more?

Thank you in advance.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
27k%5E3-8m%5E3
%283k%29%5E3-%282m%29%5E3
%283k-2m%29%28%283k%29%5E2%2B6km%2B%282m%29%5E2%29, using Difference Of Cubes formula
%283k-2m%29%289k%5E2%2B6km%2B4m%5E2%29
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You can factor out a 2m and make it 2m,...
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54k%5E3m-16m%5E3---------your including the m on the first term was assumed to be a mistake
2m%2827k%5E3-8m%5E2%29----not any more you can do with this.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Factor 54k^3m-16m^3

You can factor out a 2m and make it 2m(27k^3-8m^3), right? But is that it? Can it be factored more?

Thank you in advance.
When you factor out GCF, 2m, you get: matrix%281%2C4%2C+2m%2827k%5E3+-+8m%5E2%29%2C+and%2C+NOT%2C+2m%2827k%5E3+-+8m%5E3%29%29

THIS CANNOT be factored any further, unless you really meant: 54k%5E3m+-+16m%5E4