Question

if a/b+b/a= -1 then a^3-b^3 =?​

Answer 1

Answer:

» a/b + b/a = - 1

» a² + b² = - ab

» a² + ab + b² = 0

Now, a³ - b³ = (a - b) (a² + ab + b²)

Therefore, a³ - b³ = 0