Question

${ \tt{if \: x+y+z=3 \: \: prove that :} } \\ \\ \: \: \: \: \: \: { \sf \cfrac{ (x+y)²}{xy} + \cfrac{(y+z)²}{yz }+ \cfrac{(z+x)²}{zx} = 3}$
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Answer 1

Step-by-step explanation:

$\frac{ {x + y}^{2} }{xy} + \frac{ {y + z}^{2} }{yz} + \frac{ {z + x}^{2} }{zx} \\ \\ \frac{ {x}^{2} + {y}^{2} + 2xy }{xy} + \frac{ {y}^{2} {z}^{2} + 2yz }{yz} + \frac{ {z}^{2} + {x}^{2} + 2zx }{zx} \\ \\ {x}^{2} + {y}^{2} + {y}^{2} + {z}^{2} + {z}^{2} + {x}^{2} + 6 \\ \\ 2( {x}^{2} + {y}^{2} + {z}^{2} ) = - 6 \\ \\ {x}^{2} + {y}^{2} + {z }^{2} = - \frac{6}{2} = 3 \: proved$

Answer 2

Answer:

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do u still remember me?

or forgot me?

at least mera naam yaad hai kya?

Step-by-step explanation: