Factorize the following :
x2 + 2 + 1/x2
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Given,
x² + 1/x ² +2 - 2x 2/x
= x² + 1/x ²+ 2 x × x 1/x - 2x - 2/x
= (x + 1/x )² – 2(x 1/x)
= (x + 1/x) (x + 1/x – 2)
Therefore,
x2 + = 1 x2 x) ( +2 2x 2 = (2 + )(2 + } - 2)
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