a ( b - c ) - b ( c - a ) - c ( a - b ).
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Answer:
a/(b+c)=b/(c+a)=c/(a+b)=k
a=k(b+c)
b=k(c+a)
c=k(a+b)
by property sum of numerator/sum of denominator is also = k
a+b+c/2(a+b+c)=k
k=1/2
If a+b+c=0
a+b=−corb+c=−a
a/b+c=a/−a=−1=k
So k=−1or1/2
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