Math, asked by richajain2889, 1 year ago

plz tell answer..of ​

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Answered by DevanshVats
1

Answer:

a + b + c = 0 \\ so \\ a + b =  - c \\ b + c =  - a \\ c + a =  - b

On putting values

 \frac{ {(b + c)}^{2} }{3bc}  +  \frac{ {(c + a)}^{2} }{3ca}  +  \frac{ {(a + b) }^{2} }{3ab}  \\  =  \frac{ { - a}^{2} }{3bc}  +  \frac{ { - b}^{2} }{3ca}  +  \frac{ { - c}^{2} }{3ab}  \\  =  > taking \: lcm \\  =  \frac{  { - a}^{3}  -  {b}^{3}   -  { c }^{3} }{3abc}  \\  - 1 \: is \: common \: so \\  =  \frac{ {a}^{3} +   {b}^{3}  +  {c}^{3} }{ - 3abc}

As identity says

As identity says if x + y + z = 0

As identity says if x + y + z = 0then x³ + y³ + z³ = 3xy

So + + = 3abc [ As a + b + c = 0 ]

So answer will be

 =  \frac{3abc}{ - 3abc}  \\  =  - 1 \: ans.

#ßr@!ηl¡e$t

Answered by Anonymous
1

Answer:

-1

Step-by-step explanation:

3abc/-3abc

=-1

the ans is -1

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