মেধাবী

(x^a/x^b)^{a + b}(x^b/x^c)^{b + c} (x^c/x^a)^{c + a}
= (x^{a - b})^{a + b} (x^{b - c})^{b + c} (x ^{c - a})^{c + a}
= x^{(a - b)(a + b)} x^{(b + c)(b - c)}x^{(c + a)(c - a)}
_{= x}a² - b² _xb²- c² _xc²-a²
_{= x}a² - b² + b² - c² + c² - a²
= x⁰
= 1