Math, asked by pronitd07, 2 months ago

Give the answer please !!!​

Attachments:

Answers

Answered by rkrajputrajput8
0

Answer:

eruufyi

Step-by-step explanation:

8h24567755 4566

Answered by Salmonpanna2022
1

Step-by-step explanation:

Prove that:

 \frac{1}{1 +  {x}^{b - a}  +  {x}^{c - a} }  +  \frac{1}{1 +  {x}^{a - b} +  {x}^{c - b}  }  +  \frac{1}{1 +  {x}^{a - c}  +  {x}^{b - c} }  = 1

We have,

 \frac{1}{1 +  {x}^{b - a}  +  {x}^{c - a} }  +  \frac{1}{1 +  {x}^{a - b} +  {x}^{c - b}  }  +  \frac{1}{1 +  {x}^{a - c}  +  {x}^{b - c} }  = 1

⟹ \frac{1}{1 +  \frac{ {x}^{b} }{ {x}^{a} } +  \frac{ {x}^{c} }{ {x}^{a} }  }  +  \frac{1}{1 +  \frac{ {x}^{a} }{ {x}^{b} } +  \frac{ {x}^{c} }{ {x}^{b} }  }  +  \frac{1}{1 +  \frac{ {x}^{a} }{ {x}^{c} } +  \frac{ {x}^{b} }{ {x}^{c} }  }  = 1

⟹ \frac{ {x}^{a} }{ {x}^{a} +  {x}^{b}   +  {x}^{c} }  +  \frac{ {x}^{b} }{ {x}^{b} +  {x}^{a} +   {x}^{c}  }  +  \frac{ {x}^{c} }{ {x}^{c}  +  {x}^{a}  +  {x}^{b} }  = 1

⟹ \frac{ {x}^{a}  +  {x}^{b} +  {x}^{c}  }{ {x}^{a}  +  {x}^{b}  +  {x}^{c} }  = 1  \\  \\

⟹ 1 = 1

LHS = RHS

Hence, proved:

Similar questions