Question

if a+b+c=0,then prove that ​

Answer 1

Step-by-step explanation:

a + b + c = 0     (given)

or,  b + c = - a

or, c + a = - b

or,  a + b = -c

(b+c)²/3bc + (c+a)²/3ac + (a+b)²/3ab

  = (-a)²/3bc + (-b)²/3ac + (-c)²/3ab

  = (a)²/3bc + (b)²/3ac + (c)²/3ab

  = a³+b³+c³/3abc

  = 3abc/3abc          (\because a³+b³+c³ = 3abc)

  = 1

hence proved.