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Factorise : x^(2) + (1)/(x^(2)) - 3...

Factorise :
`x^(2) + (1)/(x^(2)) - 3`

Text Solution

Verified by Experts

Given expression : `x^(2)+(1)/(x^(2))-3=x^(2)+(1)/(x^(2))-2-1=(x^(2)-2+(1)/(x^(2)))-1`
`=(x-(1)/(x))^(2)-(1)^(2)=(x-(1)/(x)+a)(x-(1)/(x)-1)`
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