If a/b + b/a =1 (a and b are not equal to zero) the value of a³-b³ is
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Step-by-step explanation:
Given that, a/b + b/a = 1
=> ( a^2 + b^2 ) / ab = 1
=> a^2 + b^2 = ab ------ ( i )
NOW,
we know, a^3 - b^3 = ( a - b ) ( a^2 + ab + b^2 )
= ( a - b ) ( ab + ab ) [ from --- ( i ) ]
= ( a - b ) 2ab
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