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Question
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Solution
`(x - 1/x)(x^2 + 1 + 1/x^2)`
= `x(x^2 + 1 + 1/x^2) - (1)/x (x^2 + 1 + 1/x^2)`
= `x^3 + x + (1)/x - x - (1)/x - (1)/x^3`
= `x^3 - (1)/x^3`.
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