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Evaluate : (i) ((a)/(2b)+(2b)/(a))^(2)...

Evaluate :
`(i) ((a)/(2b)+(2b)/(a))^(2)-((a)/(2b)-(2b)/(a))^(2)-4`
`(ii) (4a+3b)^(2)-(4a-3b)^(2)+48ab`

Text Solution

Verified by Experts

The correct Answer is:
`(i) 0` `(ii) 96ab`
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the value of the determinant |{:((a_(1)-b_(1))^(2),,(a_(1)-b_(2))^(2),,(a_(1)-b_(3))^(2),,(a_(1)-b_(4))^(2)),((a_(2)-b_(1))^(2),,(a_(2)-b_(2))^(2) ,,(a_(2)-b_(3))^(2),,(a_(2)-b_(4))^(2)),((a_(3)-b_(1))^(2),,(a_(3)-b_(2))^(2),,(a_(3)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(4)-b_(1))^(2),,(a_(4)-b_(2))^(2),,(a_(4)-b_(3))^(2),,(a_(4)-b_(4))^(2)):}| is