1.

Factorise `x^(2)-(a+(1)/(a))x+1`.

Answer» Given expression : `x^(2)-(a+(1)/(a))x+1`
`x^(2)-ax-(x)/(a)+1=x^(2)-ax-(x)/(a)+(a)/(a)`
`=x(x-a)-(1)/(a)(x-a)=(x-a)(x-(1)/(a))`


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