if a/b +b/a = -1 (a,b not equal to 0) find the value of a^3 - b^3
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given that , a/b + b/a = 1
that means , a^2 + b^2 - ab = 0
now , we know.... a^3 + b^3 = (a + b) ( a^2 + b^2 - ab)
thus , from both the above equations it is clear that a^3 + b^3 = 0
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