Prove the following: (xaxb)a2+ab+b2×(xbxc)b2+bc+c2×(xcxa)c2+ca+a2=1

1.	Prove the following: (xaxb)a2+ab+b2×(xbxc)b2+bc+c2×(xcxa)c2+ca+a2=1
Answer» Prove the following: ${(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} \times {(\frac{x^{b}}{x_{c}})}^{b^{2} + b c + c^{2}} \times {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1$

Discussion