Question

If a/b+b/a=1 then a^3+b^3 is​

Answer 1

Answer:

0.

Step-by-step explanation:

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.

Hope this helps! :)

Answer 2

With LCM we got

a^2+b^2=ab
Or a^2+b^2-ab=0
Now a^3+b^3= (a+b)(a^2+b^2-ab)
=(a+b)*0=0