Question

(a − b)³ + (b − c)³ + (c − a)³ =

पर्याय

• (a + b + c) (a² + b² + c² − ab − bc − ca)

• (a − b) (b − c) (c − a)

• 3(a − b) ( b− c) (c − a)

• none of these

Answer 1

Given   `(a-b)^3 + (b-c)^3 + (c-a)^2`

Using identity    `x^2 +y^3 +z^3 = 3xyz`

Here  `x = a -b, y = b -c,z = c-a`

`(a-b)^3 +(b-c)^3 (c-a)^3 = 3(a-b )(b-c)(c-a)`

Hence the Value of  `(a-b)^3+ (b-c)^3+(c-a)^3` is  `3(a-b)(b-c)(c-a)`