(x-1)^3/2((x-1)^2-1) =(x+1)(x-1)^5/2

[latex](x-1)^{7/2} -(x-1) ^{3/2}= \\ =(x-1)^{3/2}*(x-1) ^{4/2}-(x-1) x^{3/2}= \\ =(x-1) ^{3/2}*((x-1) ^{2} - 1) = \\ =(x-1) ^{3/2}*(x-1+1)*(x-1-1) = \\ =x*(x-2)*(x-1) ^{3/2} [/latex]