Question

guys plz solve this problem step by step and corrcet math will be marked as brainliest ​

Answer 1

Step-by-step explanation:

$\frac{1}{1 + {a}^{y - x} + {a}^{z - x} } = \frac{1}{ \frac{ {a}^{x} + {a}^{y} + {a}^{z} } { {a}^{x} } } = \frac{ {a}^{x} }{{a}^{x} + {a}^{y} + {a}^{z} }$

$\frac{1}{1 + {a}^{z - y} + {a}^{x - y} } = \frac{1}{ \frac{{a}^{x} + {a}^{y} + {a}^{z} } { {a}^{y} } } = \frac{ {a}^{y} }{{a}^{x} + {a}^{y} + {a}^{z} }$

$\frac{1}{1 + {a}^{x - z} + {a}^{y - z} } = \frac{1}{ \frac{{a}^{x} + {a}^{y} + {a}^{z} }{ {a}^{z} } } = \frac{ {a}^{z} }{{a}^{x} + {a}^{y} + {a}^{z} }$

adding these three as given in the question

it becomes,

$\frac{{a}^{x} + {a}^{y} + {a}^{z} }{{a}^{x} + {a}^{y} + {a}^{z} } = 1$

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Answer 2

Step-by-step explanation:

Hope it will help you

thanks