Math, asked by manya252590, 5 hours ago

Can anyone solve the above question with full explanation.. answer na likh daiyo kala.. that i also know​

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Answers

Answered by Arshdeepb22
13

Answer:

 ({{a}^{ - 1}  -  {b}^{ - 1} }) ^{ - 1}

Step-by-step explanation:

 =  > ( {a}^{ - 1}  +  {b}^{ - 1}  )\div ( {a}^{ - 2}  -  {b}^{ - 2} ) \\  =  >  (\frac{1}{a}  +  \frac{1}{b} ) \div ( \frac{1}{ {a}^{2} }  -  \frac{1}{ {b}^{2} } ) \\  =  > ( \frac{1}{a}  +  \frac{1}{b} ) \div (( { \frac{1}{a} )}^{2}  -  {( \frac{1}{b}) }^{2}) \\  =  > ( \frac{1}{a}  +  \frac{1}{b} )  \div (( \frac{1}{a}  -  \frac{1}{b} )( \frac{1}{a}  +  \frac{1}{b} )) \\  =  >  \frac{( \frac{1}{a}  +  \frac{1}{b} )}{( \frac{1}{a}  +  \frac{1}{b})( \frac{1}{a} -  \frac{1}{b}  ) }  \\  =  >  \frac{1}{ \frac{1}{a}  -  \frac{1}{b} }   \\  =  >  \frac{1}{ {a}^{ - 1} -  {b}^{ - 1}  }

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