Question

if a/b+b/a=_1 than (a³_b³)=?​

Answer 1

Answer:

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! :)