Answer
$cot^2x+csc~x-1=(csc~x+2)(csc~x-1)$
Work Step by Step
$cot^2x+csc~x-1=csc^2x-1+csc~x-1=(csc~x+1)(csc~x-1)+1(csc~x-1)=(csc~x+2)(csc~x-1)$
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