Complex Multiplication is Associative/Examples

Examples of Use of Complex Multiplication is Associative

Example: $\paren {2 - i} \paren {\paren {-3 + 2 i} \paren {5 - 4 i} } = \paren {\paren {2 - i} \paren {-3 + 2 i} } \paren {5 - 4 i}$

Example: $\paren {2 - i} \paren {\paren {-3 + 2 i} \paren {5 - 4 i} }$

$\paren {2 - i} \paren {\paren {-3 + 2 i} \paren {5 - 4 i} } = 8 + 51 i$


Example: $\paren {\paren {2 - i} \paren {-3 + 2 i} } \paren {5 - 4 i}$

$\paren {\paren {2 - i} \paren {-3 + 2 i} } \paren {5 - 4 i} = 8 + 51 i$


As can be seen:

$\paren {2 - i} \paren {\paren {-3 + 2 i} \paren {5 - 4 i} } = \paren {\paren {2 - i} \paren {-3 + 2 i} } \paren {5 - 4 i}$

$\blacksquare$

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