Simplify | a^2/(a-b)(a-c)+b^2/(b-c)(b-a)+c^2/(c-a)(c-b) | Maths challenge

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Prove that - [(x^a/b^b)^(a^2+ab+b^2)] [(x^b /x^c)^(b^2+bc+c^2] [(x^c/xa) ^(c^2+ac+c^2)] = 1 Prove that - [(x^a/b^b)^(a^2+ab+b^2)] [(x^b /x^c)^(b^2+bc+c^2] [(x^c/xa) ^(c^2+ac+c^2)] = 1
a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0 a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0
(x1/a-b)1/a-c (x1/b-c)1/b-a (x1/c-a)1/c-b Class 10 Math RS Agrawal @edulover123 (x1/a-b)1/a-c (x1/b-c)1/b-a (x1/c-a)1/c-b Class 10 Math RS Agrawal @edulover123
`a+b+c=0,t h e n(a^2)/(b c)+(b^2)/(a c)+(c^2)/(a b)=` `a+b+c=0,t h e n(a^2)/(b c)+(b^2)/(a c)+(c^2)/(a b)=`
Simplify:\n((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3) | 9 | ALGEBRAIC IDENT... Simplify:\n((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3) | 9 | ALGEBRAIC IDENT...