Prove that:(i) xaxba2+ab+b2×xbxcb2+bc+c2×xcxac2+ca+a2=1(ii) xax-ba2-ab+b2×xbx-cb2-bc+c2×xcx-ac2-ca+a2=1(iii) xaxbc×xbxca×xcxab=1

Prove that:(i) xaxba2+ab+b2×xbxcb2+bc+c2×xcxac2+ca+a2=1(ii) xax-ba2-

1.	Prove that:(i) xaxba2+ab+b2×xbxcb2+bc+c2×xcxac2+ca+a2=1(ii) xax-ba2-ab+b2×xbx-cb2-bc+c2×xcx-ac2-ca+a2=1(iii) xaxbc×xbxca×xcxab=1
Answer» Prove that: (i) ${(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} \times {(\frac{x^{b}}{x^{c}})}^{b^{2} + b c + c^{2}} \times {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1$ (ii) ${(\frac{x^{a}}{x^{- b}})}^{a^{2} - a b + b^{2}} \times {(\frac{x^{b}}{x^{- c}})}^{b^{2} - b c + c^{2}} \times {(\frac{x^{c}}{x^{- a}})}^{c^{2} - c a + a^{2}} = 1$ (iii) ${(\frac{x^{a}}{x^{b}})}^{c} \times {(\frac{x^{b}}{x^{c}})}^{a} \times {(\frac{x^{c}}{x^{a}})}^{b} = 1$