Solve the equation and choose the correct answer: (a^2 - b^2)^3 + (b^2 - c^2)^3 + (c^2 + a^2)^3/(a - b)^3 + (b - c)^3 + (c - a)^3

Question

Solve the equation and choose the correct answer: \(\frac{(a^2-b^2)^3+(b^2-c^2)^3+(c^2+a^2)^3}{(a-b)^3+(b-c)^3+(c-a)^3}\) =

A. 3(a+b)(b+c)(c+a)

B. 3(a - b)(b - c)(c - a)

C. (a - b)(b - c)(c - a)

D. None of these

Answer 1

We know, a³ + b³ + c³ = 3abc