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If alpha and beta are the roots of the e...

If `alpha` and `beta` are the roots of the equation `(x-2)(x-3)+(x-3)(x+1)+(x+1)(x-2)=0` then the value of `1/((alpha+1)(beta+1))+1/((alpha-2)(beta-2))+1/((alpha-3)(beta-3))` is

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