Examples

Complex multiplication

Compute the products:

(a) (b)

Solution

(a)

Expand:

Simplify :

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(b)

Expand:

Simplify :

Complex division

Compute the following divisions of complex numbers:

(a) (b) (c) (d)

Solution

(a)

Conjugate is :

Simplify:

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(b)

Conjugate is :

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(c)

Factor out the :

Use :

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(d)

Denominator conjugate is :

Simplify: