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advanced algebra

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How do you factor
9(b to the 4th power) - 200

  • advanced algebra - ,

    9b^4 - 200
    = (3b^2 - √200)(3b^2 + √200)
    = (√3b - √√200)(√3b + √√200)(3b^2 + √200)

    where √√200 means the 4th root.

    Not sure how far you want to go with this. We could also factor using complex numbers:

    = (√3b - √√200)(√3b + √√200)(√3b - i√√200)(√3b + i√√200)

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