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Factorize a(b^3-c^3)+b(c^3-a^3)+c(a^3-b^...

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

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

The expression (a-b)^3+\ (b-c)^3+\ (c-a)^3 can be factorized as (a) (a-b)(b-c)(c-a) (b) 3(a-b)(b-c)(c-a) (c) -3\ (a-b)(b-c)(c-a) (d) (a+b+c)(a^2+b^2+c^2-a b-b c-c a)

Factorise : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)

Factorise : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)

Resolve into factors (b-c)^3+(c-a)^3+(a-b)^3