Question

(x-1)^7/2 - (x-1)^3/2 factor and simplify. Show step-by-step solution.

Answer 1

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

Answer 2

`(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)`