Question

prove that :(x^a/x^b)^a+b *(x^b/x^c)^b+c* (x^c/x^a)^c+a =1​

Answer 1

Answer:

» [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^(a² - b²) * x^(b² - c²) * x^(c² - a²)

= x^(a² - b² + b² - c² + c² - a²)

= x⁰

= 1

Hence, proved.