Find the value of - xaxba-b-xbxcb-c-xcxac-a

(x^ax^b)a+b×(x^bx^c)b+c×x^cx^a× c+a a[1+x^ax^b]+b^2(x^bx^c)+c^2x^cx^a . ...

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Expression Formation

Find the valu...

Question

Find the value of :
$(\frac{x^{a}}{x^{b}}) a + b \times (\frac{x^{b}}{x^{c}}) b + c \times (\frac{x^{c}}{x^{a}}) c + a$

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{(\frac{x^{a}}{x^{b}})}^{a + b} \times {(\frac{x^{b}}{x^{c}})}^{b + c} \times {(\frac{x^{c}}{x^{a}})}^{c + a} =

(\frac{x^{a}}{x^{b}})^{a + b} \times (\frac{x^{b}}{x^{c}})^{b + c} \times (\frac{x^{c}}{x^{a}})^{c + a}

{(\frac{x^{a}}{x^{b}})}^{a + b - c} \times {(\frac{x^{b}}{x^{c}})}^{b + c - a} \times {(\frac{x^{c}}{x^{a}})}^{c + a - b} =

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

{(\frac{x^{a}}{x^{b}})}^{(a + b)} \times {(\frac{x^{b}}{x^{c}})}^{(b + c)} \times {(\frac{x^{c}}{x^{a}})}^{(c + a)}

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