SOLUTION: please help me solve: factor & simplify: csc^3x-csc^2x-cscx+1

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Question 621605: please help me solve:
factor & simplify:
csc^3x-csc^2x-cscx+1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
factor & simplify:
csc^3x-csc^2x-cscx+1
=csc^2x(cscx-1)-(cscx-1)
=(cscx-1)(csc^2x-1)
=(cscx-1)(csc^2x-1)
=(cscx-1)(cscx+1)(cscx-1)
=(cscx+1)(cscx-1)^2