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14 July, 16:46

Recall the symbol Z represents the complex conjugate of z. If z=a+bi and w=c+di show that the statement is true zw=z*w

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  1. 14 July, 20:27
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    Z = a + bi

    w = c + di

    zw = (a + bi) (c + di)

    zw = a (c + di) + bi (c + di)

    zw = a (c) + a (di) + bi (c) + bi (di)

    zw = ac + adi + bci + bdi²

    zw = ac + adi + bci + bd (-1)

    zw = ac + adi + bci - bd
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