Math, asked by harry333, 1 year ago


 \frac{x - 1}{x - 2}  -  \frac{x + 1}{x + 2}

को परिमेय व्यंजक के रूप में व्यक्त कीजिए

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 \frac{x - 1}{x - 2} - \frac{x + 1}{x + 2}

को परिमेय व्यंजक के रूप में व्यक्त कीजिए


\bold{\underline{Answer-}}

हल -  \frac{x - 1}{x - 2} - \frac{x + 1}{x + 2}

 =  >  \frac{(x + 2)(x - 1) - (x - 2)(x + 1)}{(x - 2)(x + 2)}  \\  \\  \\  \\  =  >  \frac{( {x}^{2} + x - 2) - ( {x}^{2} - x - 2)  }{ {x}^{2} - 4 }  \\  \\  \\  \\  =  >  \frac{ {x}^{2}  + x - 2 -  {x}^{2}  + x + 2}{ {x}^{2}  - 4}  \\  \\  \\  \\  =  >  \frac{2x}{ {x}^{2}  - 4}


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