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Question Number 171563 by infinityaction last updated on 19/Jun/22
        evaluate          ((√(((a−b)^7  + (b−c)^7  + (c−a)^7 )/((a−b)^3  + (b−c)^3  + (c−a)^3 )))/(a^2 +b^2 +c^2 −ab−bc−ca)) =  ??
$$\:\:\:\:\:\:\:\:{evaluate}\:\:\: \\ $$$$\:\:\:\:\:\frac{\sqrt{\frac{\left({a}−{b}\right)^{\mathrm{7}} \:+\:\left({b}−{c}\right)^{\mathrm{7}} \:+\:\left({c}−{a}\right)^{\mathrm{7}} }{\left({a}−{b}\right)^{\mathrm{3}} \:+\:\left({b}−{c}\right)^{\mathrm{3}} \:+\:\left({c}−{a}\right)^{\mathrm{3}} }}}{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} −{ab}−{bc}−{ca}}\:=\:\:?? \\ $$
Answered by a.lgnaoui last updated on 18/Jun/22

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