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    How would i find the determinant of this? and then express it as a product of 4 nonconstant polynomails in x,y and z.
    I did the rule of sarrus thing, and then what next?
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    It might be easier to use elementary row operations first to simplify calculations later on.
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    (Original post by rpan161)
    I did the rule of sarrus thing, and then what next?
    write out what you've done so far
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    Using the serrus rule, i got:

    (x^2z^3 + x^3y^2 + y^3x^2) - (x^3z^2+x^2y^3+y^2z^3)
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    anyone?
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    (Original post by rpan161)
    Using the serrus rule, i got:

    (x^2z^3 + x^3y^2 + y^3x^2) - (x^3z^2+x^2y^3+y^2z^3)
    Typo? Shouldn't the last term in the first bracket be y^3z^2 instead of y^3x^2 ?
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    (Original post by nuodai)
    It might be easier to use elementary row operations first to simplify calculations later on.
    Column operations look like they'd be more fruitful.
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    Erm, so how would I go about doing it?
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    Try taking column 3 from both columns 1 and 2. You'll see some factors appear.

    Edit: Do you have the answer for this? I worked through as well as I could and came to:
    -(xy + zx + yz)(z-x)(y-z)(x-y)
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    Are you still at a loss as to what to do?
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    thanks, I think i've got it now. much appreciated!
 
 
 
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