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" Prove that "(a+b+c)^(3)-a^(3)-b^(3)-c^...

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

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

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

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)-3abc)

Prove that |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=(a-b)(b-c)(c-a)(a+b+c)

Prove that (a^(8)+b^(8)+c^(8))/(a^(3)b^(3)c^(3))>(1)/(a)+(1)/(b)+(1)/(c)

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

Prove that |(1,1,1),(a,b,c),(a^3,b^3,c^3)| = (a - b)(b-c)(c-a)(a+b+c) .

Prove that a^(3)+b^(3)+c^(3)-3abc=(1)/(2)(a+b+c){(a-b)^(2)+(b-c)^(2)+(c-a)^(2)}

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)