(a-2b)^(3)-512b^(3)

Factorize: (a-2b)^3-512 b^3

x^3-512

If (2a - 3b)/(2a+3b) = 1/3 , then find the value of (2a^(3) - 3b^(3))/(2a^(3) + 3b^(3)) .

If a-b=3, a+b+x=2 , then the value of (a-b)[x^(3)+3(a+b)x^(2)+3x(a+b)^(2)+(a+b)^(3)] is

((a - b)^(3) - (a +b)^(3))/(2) + a(a^(2) + 3b^(2)) = _____

Expand.a^(3)b^(2),a^(2)b^(3),b^(2)a^(3),b^(3)a^(2) Are they all same?

Prove that ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))=(a+b)(b+c)(c+a)