Question

(a-b) ³+(b-c)³+(c-a)³ factorize​

Answer 1

We know that if x+y+z = 0

then x³+y³+z³=3xyz

let (a-b) be x

(b-c) be y

(c-a) be z

x+y+z

= a-b+b-c+c-a

= 0

so value of x³+y³+z³ is 3xyz

putting the value of x , y and z

so , answer is 3(a-b)(b-c)(c-a)

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