Question

if a+b+c=0 ,then find the value of (a+b /c) +( b+c/a) +( c+a /b)​

Answer 1

Answer:

$(\frac{a + b}{c}) + (\frac{b + c}{a}) + (\frac{c + a}{b} ) = - 3$

Step-by-step explanation:

$a + b + c = 0 (given)\\ a + b = - c - - - - - (1) \\ b + c = - a - - - - - (2) \\ c + a = - b - - - - - (3) \\ (\frac{a + b}{c}) + (\frac{b + c}{a}) + (\frac{c + a}{b} ) \\ \frac{ - c}{c} + \frac{ - a}{a} + \frac{ - b}{b} \\ - 1 - 1 - 1 \\ - 3$

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