Question

A by b + b by a equal to -1 find a cube minus b cube

Answer 1

Step-by-step explanation:

a/b+b/a=-1

This can be written as (a^2+b^2)/ab=-1

a^2+b^2=-ab

a^2+b^2+ab=0------ eq-1

we know that a^3-b^3=(a-b)(a^2+b^2+ab)

Then,

a^3-b^3=(a-b)(0)-----from eq-1

a^3-b^3=0