已知abc≠0,且a+b+c=0,则代数式a
网友回答
把a=-(b+c),b=-(a+c),c=-(a+b)代入,
原式=?(b+c)?abc+?(a+c)?bac+?(a+b)?cab
======以下答案可供参考======
供参考答案1:
a^2/bc+b^2/ca+c^2/ab
=abc*(a^2/bc+b^2/ca+c^2/ab)/abc
=(a^3+b^3+c^3)/abc
令a=1,b=-1/2, c=-1/2
(a^3+b^3+c^3)/abc
=(1-1/8-1/8)/(1/4)
=(3/4)/(1/4)
=3