How would you convert this equation to sum of cubes?

Question

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

Answer 1

B^2 A + B^3 - ( AB^2 - A^2B + A^2B -A^3)=

B^2 A + B^3 - AB^2 +A^2B - A^2B +A^3=

B^2 a and a^2 b cancel

B^3+a^3