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Question
Expand the expression: `(x + 1/x)^6`
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Solution
`(x + 1/x)^6 = x^6 + ^6C_1 x^5(1/x) + ^6C_3 x^3 (1/x)^3 + ^6C_4 x^2 (1/x)^4 + ^6C_5 x (1/x)^5 + (1/x)^6`
= `x^6 + 6. x^5 . 1/x + 15. x^4 . 1/x^2 + 20. x^3 . 1/x^3 + 15 . x^2 . 1/x^4 + 6.x 1/(x^5) + 1/x^6`
= `x^6 + 6x^4 + 15x^2 + 20 + 15/x^2 + 6/x^4 + 1/x^6`
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