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For any two complex number z_1,z_2 and any real numbers a and b, |az_1-bz_2|^2+|bz_1+az_2|^2=….

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SOLUTION :`|az_1-bz_2|+|bz_1+az_2|^2`
`=[|a|^2|z_1|^2+b^2|z_2|^2-2ab Re (z_1barz_2)]+[a^2|z_1|^2+a^2|z_2|^2+2abRe(z_1barz_2)]`
`=(a^2+b^2)(|z_1|^2+|z_2|^2)`


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