Math, asked by nyneishiagoel, 8 months ago

someone plz answer this question step by step ​

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Answered by steveazad
1

please mark as the Brainliest answer

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Answered by Neerajpprajapati
1

Step-by-step explanation:

  • (a {}^{ - 1}  + b {}^{ - 1} ) \div ( {a}^{ - 2}  -  {b}^{ - 2} )
  •  =  >  \frac{( {a}^{ - 1} +  {b}^{ - 1})  }{( {a}^{ - 1} {})^{2}  -  ({b}^{ - 1}) {}^{2}   }
  •  =  > \frac{( {a}^{ - 1} +  {b}^{ - 1})  }{( {a}^{ - 1}  +  {b}^{ - 1})( {a}^{ - 1}  -  {b}^{ - 1})  }
  •  =  >  \frac{1}{ {a}^{ - 1} -  {b}^{ - 1}  }
  •  =  >  \frac{1}{ \frac{1}{a}  -  \frac{1}{b} }
  •  =  >  \frac{ab}{b - a}
  • Hence the required answer. I hope it will help you. Thank you
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