1) if x+y+z= 0,
show that:
![x {}^{2} + y {}^{2} + z {}^{2} = 3xyz x {}^{2} + y {}^{2} + z {}^{2} = 3xyz](https://tex.z-dn.net/?f=x+%7B%7D%5E%7B2%7D++%2B+y+%7B%7D%5E%7B2%7D+++%2B+z++%7B%7D%5E%7B2%7D++%3D+3xyz)
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