Question

$\large \red{ \underbrace{ \underline { \boxed{\tt{Question\: !}}}}}$
For three real integer x,y and z , Prove the following:
$\large \bold{ \tt{ \frac{ {x}^{3 } + 3 {y}^{3} }{5x + y} + \frac{ {y}^{3} + 3 {z}^{3} }{5y + z} + \frac{ {z}^{3} + 3 {x}^{3} }{5z + x} = \frac{2( {x}^{2} + {y}^{2} + {z}^{2} ) }{3} }}$

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please Answer with full explanation.

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Answer 1

Answer:

see the given attachment

hence k= 9 is the correct answer pls mark me as brainlist pls ❤️❤️