Buktikan bahwa: [tex]\displaystyle \left ( x-\frac{x+y+z}{3} \right )^2+\left ( y-\frac{x+y+z}{3} \right )^2+\left ( z-\frac{x+y+z}{3} \right )^2\\+3\left ( \fr
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Buktikan bahwa:
[tex]\displaystyle \left ( x-\frac{x+y+z}{3} \right )^2+\left ( y-\frac{x+y+z}{3} \right )^2+\left ( z-\frac{x+y+z}{3} \right )^2\\+3\left ( \frac{x+y+z}{3} \right )^2=x^2+y^2+z^2[/tex]
[tex]\displaystyle \left ( x-\frac{x+y+z}{3} \right )^2+\left ( y-\frac{x+y+z}{3} \right )^2+\left ( z-\frac{x+y+z}{3} \right )^2\\+3\left ( \frac{x+y+z}{3} \right )^2=x^2+y^2+z^2[/tex]
