Prove that (xaxbxc)4(xa+b)2(xb+c)2(xc+a)2=1.

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Prove that {(x^{a+b})^2(x^{b+c})^2(x^{c+a})^2}{(x^ax^bx^c)^4}=

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Prove that $\frac{( x ^{a + b} ) ^{2} ( x ^{b + c} ) ^{2} ( x ^{c + a} ) ^{2}}{( x ^{a} x ^{b} x ^{c} ) ^{4}} = 1$ .

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Prove that

\frac{( x ^{a + b} ) ^{2} ( x ^{b + c} ) ^{2} ( x ^{c + a} ) ^{2}}{( x ^{a} x ^{b} x ^{c} ) ^{4}} = 1

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Question Text

Prove that

\frac{( x ^{a + b} ) ^{2} ( x ^{b + c} ) ^{2} ( x ^{c + a} ) ^{2}}{( x ^{a} x ^{b} x ^{c} ) ^{4}} = 1