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    complex numbers problem


    How would you go about showing this?
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    Just multiply and collect terms: \left[ {\left( {a + bi} \right)+\left( {c + di} \right)} \right]\left[ {\left( {a - bi} \right)+\left( {c - di} \right)} \right]
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    Hello,
    Quote Originally Posted by Haris View Post

    How would you go about showing this?
    You can do it in two ways.

    1st :
    Write z and w with their real and imaginary parts and expand the LHS

    2nd :
    Use these rules :
    z\bar z=|z|^2 for any complex number
    z+\bar z=2 \ \Re(z)
    \bar z+\bar w=\overline{z+w}
    and then expand the LHS


    There is another rule, but you don't need it here :
    z-\bar z=2 \ \Im(z)
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