Confused about complex numbers

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SUMMARY

The discussion clarifies the mathematical identity for the square of the modulus of a complex number, specifically |a+b|^2 = (a+b)(a+b)*. It breaks down the equation into components: |a|^2 + |b|^2 + a*b* + a*b*, where * denotes complex conjugation. This identity is essential for understanding operations involving complex numbers in fields such as engineering and physics.

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##|a+b|^2 = (a+b)(a+b)^* = aa^* + bb^* + a^*b + ab^*= |a|^2 + |b|^2 + a^*b+ ab^*## where * is the complex conjugation.
 
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mfb said:
##|a+b|^2 = (a+b)(a+b)^* = aa^* + bb^* + a^*b + ab^*= |a|^2 + |b|^2 + a^*b+ ab^*## where * is the complex conjugation.
Thanks you!
 
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