If α,  β,  γ  are the roots of x3+px2+qx+r=0, then (α−1βγ)(β−1γα)(γ−1αβ)=

The given equation is x3+px2+qx+r=0 α,  β,  γ  are the roots of the equation Product of the roots : αβγ=−r (α−1βγ)(β−1γα)(γ−1αβ)=(αβγ−1βγ)(βγα−1γα)(γαβ−1αβ) =(αβγ−1)3(αβγ)2=−(r+1)3r2