Question

If x =a1/3-a-1/3, then what is (x then what is (x3 + 3x) equal to?​

Answer 1

x = (a^1/3) - (a^-1/3)

Cubing on both sides,

x^3 = (a^1/3)^3 - (a^-1/3)^3 - 3(a^1/3 -

a^-1/3)

x^3 =a - a^-1 - 3x

x^3 + 3x - a= a - a^-1 - 3x + 3x - a

= - a^-1