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ICSE Class 9 Answered

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Asked by dr_pradip27121972 | 08 Feb, 2018, 05:22: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight L. straight H. straight S.
equals fraction numerator straight a to the power of negative 1 end exponent over denominator straight a to the power of negative 1 end exponent plus straight b to the power of negative 1 end exponent end fraction plus fraction numerator begin display style straight a to the power of negative 1 end exponent end style over denominator begin display style straight a to the power of negative 1 end exponent minus straight b to the power of negative 1 end exponent end style end fraction
equals fraction numerator begin display style 1 over straight a end style over denominator begin display style 1 over straight a plus 1 over straight b end style end fraction plus fraction numerator begin display style 1 over straight a end style over denominator begin display style 1 over straight a minus 1 over straight b end style end fraction
equals fraction numerator begin display style 1 over straight a end style over denominator begin display style fraction numerator straight a plus straight b over denominator ab end fraction end style end fraction plus fraction numerator begin display style 1 over straight a end style over denominator begin display style fraction numerator straight b minus straight a over denominator ab end fraction end style end fraction
equals fraction numerator straight b over denominator straight a plus straight b end fraction plus fraction numerator straight b over denominator straight b minus straight a end fraction
equals straight b open parentheses fraction numerator 1 over denominator straight a plus straight b end fraction plus fraction numerator 1 over denominator straight b minus straight a end fraction close parentheses
equals straight R. straight H. straight S.
equals straight b open parentheses fraction numerator straight b minus straight a plus straight a plus straight b over denominator ab minus straight a squared plus straight b squared minus ab end fraction close parentheses
equals fraction numerator 2 straight b squared over denominator straight b squared minus straight a squared end fraction end style
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