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CBSE Class 9 Answered

Find x if open parentheses 8 over 15 close parentheses cubed- open parentheses 1 third close parentheses cubed-  open parentheses 1 fifth close parentheses cubed =  x over 75 Using suitable identity   
Asked by Girishdhawan | 02 Jun, 2018, 10:29: AM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses 8 over 15 close parentheses cubed plus open parentheses fraction numerator begin display style negative 1 end style over denominator begin display style 3 end style end fraction close parentheses cubed plus open parentheses fraction numerator begin display style negative 1 end style over denominator begin display style 5 end style end fraction close parentheses cubed equals open parentheses straight x over 75 close parentheses cubed straight a plus straight b plus straight c equals 8 over 15 plus fraction numerator begin display style negative 1 end style over denominator begin display style 3 end style end fraction plus fraction numerator begin display style negative 1 end style over denominator begin display style 5 end style end fraction equals 0 so space straight a cubed plus straight b cubed plus straight c cubed equals 3 abc open parentheses fraction numerator begin display style 8 end style over denominator begin display style 15 end style end fraction close parentheses cubed plus open parentheses fraction numerator begin display style negative 1 end style over denominator begin display style 3 end style end fraction close parentheses cubed plus open parentheses fraction numerator begin display style negative 1 end style over denominator begin display style 5 end style end fraction close parentheses cubed equals 3 cross times fraction numerator begin display style 8 end style over denominator begin display style 15 end style end fraction cross times fraction numerator begin display style negative 1 end style over denominator begin display style 3 end style end fraction cross times fraction numerator begin display style negative 1 end style over denominator begin display style 5 end style end fraction equals 8 over 75 fraction numerator begin display style 8 end style over denominator begin display style 75 end style end fraction equals open parentheses fraction numerator begin display style straight x end style over denominator begin display style 75 end style end fraction close parentheses cubed straight x equals 2 cross times open parentheses 75 close parentheses to the power of 2 over 3 end exponent end style
Answered by Arun | 04 Jun, 2018, 10:01: AM

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