You can put this solution on YOUR website! [z-8/z-9]-[z+1/z-9]+[z-27/z^2-81]
Multiply thru by z^2-81
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= (z-8)(z+9) - (z+1)(z+9) + (z-27)
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= z*2+z-72 - (z^2+10z+9) + z-27
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= (z-10z+z)+(-72-9-27)
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= -8z-108
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Cheers,
Stan H.