<PRE><B>Question 186576</B>
Perform the complex number operations and write the answer in the a+bi form.

[2i + 3 - i] / [2 + 5i]

= [3 + i] / [2 + 5i]

Multiply numerator and denominator by 2 - 5i

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= [(3+i)(2-5i)] / [(2+5i)(2-5i)]

= [6+5 +2i-15i] / [4 + 25]

= [11 - 13i] / [29]

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Cheers,
Stan H.
</PRE>