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ICSE Class 9 Answered

(a/2b+2b/a)2 - ( a/2b-2b/a)2  
Asked by vaishu | 22 Jan, 2018, 08:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses fraction numerator straight a over denominator 2 straight b end fraction plus fraction numerator 2 straight b over denominator straight a end fraction close parentheses squared minus open parentheses fraction numerator straight a over denominator 2 straight b end fraction minus fraction numerator 2 straight b over denominator straight a end fraction close parentheses squared
equals fraction numerator straight a squared over denominator 4 straight b squared end fraction plus 2 cross times fraction numerator straight a over denominator 2 straight b end fraction cross times fraction numerator 2 straight b over denominator straight a end fraction plus fraction numerator 4 straight b squared over denominator straight a squared end fraction minus open parentheses fraction numerator straight a squared over denominator 4 straight b squared end fraction minus 2 cross times fraction numerator straight a over denominator 2 straight b end fraction cross times fraction numerator 2 straight b over denominator straight a end fraction plus fraction numerator 4 straight b squared over denominator straight a squared end fraction close parentheses
equals up diagonal strike fraction numerator straight a squared over denominator 4 straight b squared end fraction end strike plus 2 cross times fraction numerator up diagonal strike straight a over denominator 2 up diagonal strike straight b end fraction cross times fraction numerator 2 up diagonal strike straight b over denominator up diagonal strike straight a end fraction plus up diagonal strike fraction numerator 4 straight b squared over denominator straight a squared end fraction end strike minus up diagonal strike fraction numerator straight a squared over denominator 4 straight b squared end fraction end strike plus 2 cross times fraction numerator up diagonal strike straight a over denominator 2 up diagonal strike straight b end fraction cross times fraction numerator 2 up diagonal strike straight b over denominator up diagonal strike straight a end fraction minus up diagonal strike fraction numerator 4 straight b squared over denominator straight a squared end fraction end strike
equals 2 plus 2
equals 4 end style
Answered by Sneha shidid | 23 Jan, 2018, 09:19: AM
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