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Question
Factorise : `x^2 + 1/x^2 - 11`
Sum
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Solution
`x^2 + 1/x^2 - 11`
= `x^2 + 1/x^2 - 2 - 9`
= `x^2 + 1/x^2 - 2 xx x xx 1/x - 9`
= `( x - 1/x )^2 - (3)^2`
= `( x - 1/x + 3 )( x - 1/x - 3 )`
shaalaa.com
Method of Factorisation : Difference of Two Squares
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