Answer:
[tex]4(x-2)(x-1)^3(x+1)\sqrt{x-1}[/tex]
Step-by-step explanation:
[tex]4x(x-1)^{9/2}-8(x-1)^{7/2}=4(x-1)^{7/2}(x(x-1)^{2/2} -2)=4(x-1)^{7/2}(x^2-x-2)\\\\=4(x-1)^{7/2}(x-2)(x+1)=4(x-2)(x-1)^3(x+1)\sqrt{x-1}[/tex]
___
Among other things, the leading coefficient cannot be 2, as 4 is a factor of both the given terms.
