`a=3^(-3)-3^(3)` and `b=3^(3)-3^(-3),` then `(a)/(b)-(b)/(a)`

If a=(3^(-3)-3^(3)) , and b=(3^3-3^(-3)) , then find the value of (a)/(b)-(b)/(a) .

if a-b=3 and a^(3)-b^(3)=117 then a+b is

a^(3)-9b^(3)+(a+b)^(3)

(2a^(3)-b^(3))^(3)-b^(9)

(a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) Show that (a-b) ^(3) + (b-c) ^(3) + (c-a)^(3) =3 (a-b) (b-c) (c-a)

(a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) Show that (a-b) ^(3) + (b-c) ^(3) + (c-a)^(3) =3 (a-b) (b-c) (c-a)