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

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

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Factorise (a-2b)^3+(2b-3c)^3+(3c-a)^3

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Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a b c)

Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a b c)

Prove that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

Prove that (a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)

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Factorise : a^(2)(b+c) - (b+c)^(3)

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