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If a^(2)-4a+1=4, then the value of (a^(3...

If `a^(2)-4a+1=4`, then the value of `(a^(3)-a^(2)+a-1)/(a^(2)-1)(a^(2)ne1)`

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Verified by Experts

The correct Answer is:
4

Given `a^(2)-4a+1=4impliesa^(2)+1=4(1+a)`
`y=((a-1)(1+a^(2)))/(a^(2)-1)=(a^(2)+1)/(a+1)=(4(a+1))/(a+1)=4`
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