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Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].
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![Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].](https://i.ytimg.com/vi/ActGGodJFwI/hqdefault.jpg)
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Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].
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