Question

if a/b +b/a=1,then find the value of a^3+b^3

Answer 1

a/b+b/a=1
=(a^2+b^2)/ab=1
=a^2+b^2=ab
=a^2+b^2-ab=0

Now,a^3+b^3=(a+b)(a^2+b^2-ab)
=(a+b)*0 (Because,a^2+b^2-ab=0)
=0 Ans

this is your answer..☺