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For any two complex numbers z1 and z2 and any two real numbers a, b find the value of |az1 – bz2|^2 + |az2 + bz1|^2.

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For any two complex numbers z1 and z2 and any two real numbers a, b find the value of |az1 – bz2|2 + |az2 + bz1|2.

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|az1-bz2|2 + |az2+bz1|2 

= | z1|2 (a2+b2)+| z2|2 (a2+b2) 

= (a2+b2 )(| z1|2+| z2|2)

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