Question

If a/b + b/a = 1,
Find a^3 - b^3

Answer 1

a/b + b/a = 1

a^2 + b^2 = ab

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

= (a-b)(ab+ab)

= 2ab (a-b)