SOLUTION: Assume that x≠0 and x≠-1, simplify (x^3+1)^-1 + (x^-3 + 1)^-1.

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Question 1133230: Assume that x≠0 and x≠-1, simplify (x^3+1)^-1 + (x^-3 + 1)^-1.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
simplify %28x%5E3%2B1%29%5E-1+%2B+%28x%5E-3+%2B+1%29%5E-1
=1%2F%28x%5E3%2B1%29+%2B+1%2F%28x%5E-3+%2B+1%29
=1%2F%28x%5E3%2B1%29+%2B+1%2F%281%2Fx%5E3+%2B+1%29
=1%2F%28x%5E3%2B1%29+%2B+1%2F%28%281%2B+x%5E3+%29%2Fx%5E3+%29
=1%2F%28x%5E3%2B1%29+%2B+x%5E3%2F%281%2B+x%5E3++%29
=%281%2B+x%5E3%29%2F%281%2B+x%5E3++%29
=1