Question

Prove that : (a²- b²)³ + (b²- c²)³ + (c²- a²)³ = 3(a+b)(b+c)(c+a)(a-b)(b-c)(c-a)

It's a SA1 model question … Plz solve it…

Answer 1

Here is the solution bro, hope you find it useful, pls mark me as the brainliest.

Answer 2

If  x+y+z = 0, then we know :  x³ + y³ + z³ = 3 x y z

Here  x = a² -b²    ,   y = b² - c²,   z = c²  - a²

so LHS:  3 (a²-b²)(b²-c²)(c²-a²)
             = 3 (a+b)(a-b)(b+c)(b-c)(c+a)(c-a)
              = RHS