If z,z1,z2inCC then (vii)|z1+z2|^2=|z1|^...

If `z,z_1,z_2inCC` then (vii)`|z_1+z_2|^2=|z_1|^2+|z_2|^2+2Re(z_1barz_2)` (viii)`|z_1-z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1barz_2)` (ix)`|z_1+z_2|^2+|z_1-z_2|^2=2(|z_1|^2+|z_2|^2)` (x) `|az_1-bz_2|^2+|bz_1+az_2|^2=(a^2+b^2)(|z_1|^2+|z_2|^2)` where `a,b in RR`

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