if a+b+c=0 then find the value of a^2/bc+b^2/ca+c^2/ab
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if a+b+c=0 then find the value of a^2/bc+b^2/ca+c^2/ab

 solution:-

let x= a^2/bc+b^2/ca+c^2/ab ...................(1)

and given  a+b+c=0 

now from(1)

⇒x= a^2/bc+b^2/ca+c^2/ab (Take LCM of ab,bc,ca)

⇒x=(a^3+b^3+c^3)/abc

⇒x=(a^3+b^3+c^3)-3abc+3abc/abc

we know that if a+b+c=0 then a^3+b^3+c^3-3abc=0

so x=(0+3abc)/abc

⇒x=3abc/abc

⇒x=3 ans 

also see this video


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