If a,b,c are all non-zeros , `a+b+c=0` , prove `a^2/(bc)+b^2/(ac)+c^2/(ab)=3`

If a,b,c are all non-zero and a+b+c=0, prove that a^2/(bc)+b^2/(ca)+c^2/(ab)=3 .

If a,b,c are all non zero and a+b+c=0 , prove that (a^2)/(bc)+(b^2)/(ca)+(c^2)/(ab)=3 .

If a,b,c are all non-zero and a+b+c=0 prove that (a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab)=3

If a , b , c are all non-zero and a+b+c=0 , then (a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab)= ? .

if a,and c are all non zero and a+b+c=0 , then prove that (a^(2))/(bc)+(b^(2))/(ac)+(c^(2))/(ab)=3.

If a,b,c are non-zero distinct real numbers and a+b+c=0, then (a^(2))/(2a^(2)+bc)+(b^(2))/(2b^(2)+ac)+(c^(2))/(2c^(2)+ab)

If a + b + c = 0 , then prove that (a+b)^2/(ab) + (b+c)^2/(bc) + (c+a)^2/(ca)=3

if a, and c are all non zero and a+b+c=0 , then find the value of (a^(2))/(bc)+(b^(2))/(ac)+(c^(2))/(ab)

If a,b and c are non- zero real number then prove that |{:(b^(2)c^(2),,bc,,b+c),(c^(2)a^(2),,ca,,c+a),(a^(2)b^(2),,ab,,a+b):}| =0