Question

Simplify:

`(x^(a + b) * x^(b + c) * x^(c + a))/(x^a * x^b * x^c)^2`

Answer 1

`(x^(a + b) * x^(b + c) * x^(c + a))/(x^a * x^b * x^c)^2`

Thus, we have

⇒ `x^(a + b + b + c + c + a)/(x^(2a) * x^(2b) * x^(2c))`  ...[∵ (aⁿ)^m = a^nm]

⇒ `x^(2a + 2b + 2c)/x^(2a + 2b + 2c)`  ...[∵ aⁿ × a^m = a^{n + m}]

⇒ 1

Hence, the required is 1.