Assume x is a positive real number a,c,c are rational numbers then prove that xaxba2+ab+b2xbxcb2+bc+c2xcxac2+ca+a2=1.

Assume x is a positive real number a,c,c are rational numbers then prove that ${(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} {(\frac{x^{b}}{x^{c}})}^{b^{2} + b c + c^{2}} {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1$ .

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