Factorize: x²+1/x²+2
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x²+1/x²+2
= x² + 2 + 1/x²
= (x)² + 2•x•1/x + (1/x)²
= (x+1/x)²
[using the rule (a+b)² = a²+2ab+b² ]
= (x + 1/x) (x + 1/x).
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