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CBSE Class 9 Answered

Please answer this question
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Asked by Girishdhawan | 25 Jun, 2018, 08:53: PM
answered-by-expert Expert Answer
a3 + b3 + c3  = 3abc and a + b + c = 0 
a + b + c = 0
a + b = -c, b + c = -a, a + c = -b
begin mathsize 16px style fraction numerator left parenthesis straight b plus straight c right parenthesis squared over denominator 3 bc end fraction plus fraction numerator begin display style left parenthesis straight c plus straight a right parenthesis squared end style over denominator begin display style 3 ac end style end fraction plus fraction numerator begin display style left parenthesis straight a plus straight b right parenthesis squared end style over denominator begin display style 3 ab end style end fraction equals fraction numerator begin display style left parenthesis negative straight a right parenthesis squared end style over denominator begin display style 3 bc end style end fraction plus fraction numerator begin display style left parenthesis negative straight b right parenthesis squared end style over denominator begin display style 3 ac end style end fraction plus fraction numerator begin display style left parenthesis negative straight c right parenthesis squared end style over denominator begin display style 3 ab end style end fraction equals fraction numerator straight a squared over denominator 3 bc end fraction plus fraction numerator straight b squared over denominator 3 ac end fraction plus fraction numerator straight c squared over denominator 3 ab end fraction equals fraction numerator straight a cubed plus straight b cubed plus straight c cubed over denominator 3 abc end fraction equals fraction numerator 3 abc over denominator 3 abc end fraction equals 1 end style
Answered by Sneha shidid | 29 Jun, 2018, 10:00: AM

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