Question

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


परिमेय व्यंजक युगमो का योग ज्ञात कीजिए

Answer 1

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$\bold{\underline{Question-}}$



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

परिमेय व्यंजक युगमो का योग ज्ञात कीजिए


$\bold{\underline{Answer-}}$

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


$= > \frac{(x + 2) {}^{2} + {(x - 2)}^{2} }{(x - 2)(x + 2)} \\ \\ \\ = > \frac{ {x}^{2} + 4x + 4 + {x}^{2} - 4x + 4 }{ {x}^{2} - 4 } \\ \\ \\ \\ = > \frac{ {2x}^{2} + 8}{ {x}^{2} - 4} \\ \\ \\ \\ = > \frac{2( {x}^{2} + 4)}{( {x}^{2} - 4)}$

Answer 2

$<b><i>$

$\frac{x + 2}{x - 2} + \frac{x - 2}{x + 2} \\ \frac{ {(x + 2)}^{2} + {(x - 2)}^{2} }{(x - 2)(x + 2)} \\ \frac{ {x}^{2} + 4 + 4x + {x}^{2} + 4 - 4x}{ {x}^{2} - 4 } \\ \frac{ {x}^{2} + 4 + {x}^{2} + 4 }{ {x}^{2} - 4 } \\ \frac{2x {}^{2} + 8 }{ {x}^{2} - 4}$