SOLUTION: How do I factor this, please help.. 4x<sup>4</sup> – 500x

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Question 734754: How do I factor this, please help..
4x4 – 500x
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
4x4 – 500x

Factor out 4x

4x(x3 – 125)

125 = 53, so replace 125 by 53

4x(x3 – 53)

Learn the rule for factoring the sum or difference of two cubes:

        A3 ± B3 = (A ± B)(A2 ∓ AB + B2)

4x(x – 5)(x2 + 5x + 52)

4x(x – 5)(x2 + 5x + 25)

Edwin