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I don't understand how this is the final answer for this problem

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The simplification is correct, however, there was probably an error in the program statement.  I see "(x^3)-1" in the numerator and "x^(2-1)" in the denominator.  Maybe what was intended was "((x^3)-1)/((x^2)-1)"?  To exit an exponent or parentheses or a radical, use the "right arrow key" or a click from the mouse in order to move the cursor outside of the current term.  I suspect that in the numerator the cursor was in the correct location and in the denominator the cursor remained in the exponent position. 

https://doyourmath.com/redirect/174/3f55d74973c0ac77c742ad7033610d42?q=c%3Dsolve%26v1%3D%25255Cfrac%25257Bx%25255E3-1%25257D%25257Bx%25255E2-1%25257D%26v2%3Dsimplify%3C%2Fp%3E

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