Question

factorise the polynomial (a²-b²)³+(b²-c²)³+(c²-a²)³​

Answer 1

(a²-b²)³+(b²-c²)³+(c²-a²)³
We know that
if x + y + z =0 then x^3 + y^3 + z^3 = 3xyz

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

a²-b² + b²-c² + c²-a² = 0

Hence
(a²-b²)³+(b²-c²)³+(c²-a²)³ = 3(a²-b²)(b²-c²)(c²-a²)³
= 3(a + b)(a − b)(b + c)(b − c)(c + a)(c − a) = 3(a + b)(b + c)(c + a)(a − b)(b − c)(c − a)

Hopefully it’s helpful for you
Please mark me as a brainliest
Thanks

Answer 2

Answer:

hope so it is helpful for you