SOLUTION: Factor m(to the 5th) + 32x(to the 5th) Please explain step by step how you come up with the solution and why certain numbers are in the places that they are?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor m(to the 5th) + 32x(to the 5th) Please explain step by step how you come up with the solution and why certain numbers are in the places that they are?      Log On


   

Question 227068: Factor
m(to the 5th) + 32x(to the 5th)
Please explain step by step how you come up with the solution and why certain numbers are in the places that they are?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
m%5E5+%2B+32x%5E5
32+=+2%5E5
= %28m+%2B+2x%29%2A%28m%5E4+-+2m%5E3x+%2B+4m%5E2x%5E2+-+8mx%5E3+%2B+16x%5E4%29
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The sum of any two values to an odd power can be factored as above.
The difference can also be factored in a similar manner, when the exponents are odd.