Question

a/b+b/a=1,then a*a*a+b*b*b

Answer 1

Given a/b + b/a = 1

           (a^2 + b^2)/ab = 1.

           a^2 + b^2 = ab   --- (1)


Then a^3 + b^3 = (a + b)(a^2 + b^2 - ab)

                           = (a + b)(ab - ab)  (From (1))

                           = 0.

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