if a/b+b/a=-1 then a³-b³=?
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a/b+b/a=1 , multiply both side by ab
a^2+b^2=ab
a^2+b^2-ab=0………….(1)
a^3+b^3=(a+b)(a^2+b^2-ab) ,put a^2+b^2-ab=0 from eq.(1)
a^3+b^3=(a+b)(0) = 0 ,
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