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Divide x to the 5th power by x to the 2nd power?

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Divide x to the 5th power by x to the 2nd power?
x5 / x2 = x3.
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X to the fifth power minus 32 divide by x minus 2 simplify?

X to the fifth power minus 32 divide by x minus 2 simplify?

  x^5 - 32 = x^5 - 2x^4 + 2x^4 - 4x^3 + 4x^3 - 8x^2 +8x^2 - 16x +16x - 32   (second and third terms cancel, as do fourth and fifth etc)   = (x - 2)*(x^4 + 2x^3 + 4x^