SOLUTION: Factor each polynomial completely: x^3 - 4y^2x + 2x^2 - 8y^2

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Question 1017716: Factor each polynomial completely:
x^3 - 4y^2x + 2x^2 - 8y^2

Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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Factor each polynomial completely:
x^3 - 4y^2x + 2x^2 - 8y^2
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Apply grouping.

x%5E3+-+4y%5E2x+%2B+2x%5E2+-+8y%5E2 = %28x%5E3+-+4y%5E2x%29 + %282x%5E2+-+8y%5E2%29 = x%2A%28x%5E2-4y%5E2%29 + 2%2A%28x%5E2-4y%5E2%29 = %28x%2B2%29%2A%28x%5E2+-+4y%5E2%29 = (x+2)*(x-2y)*(x+2y).