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Question

Simplify
(x+1x)3

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Solution

(x+1x)3 is of the form

(a+b)3=a3+b3+3ab(a+b)
where a=x,b=1x

=(x)3+(1x)3+3x×1x(x+1x)

=xx+1xx+3x+3x

=(x+3)x+(1x+3)1x

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