Question 1208829
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Given z = 3 - 4i and w = 8 + 3i, write each expression in the standard form 
a + bi. 
1. z • z bar
2. (z - w) bar
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<pre>
(1)  z • z bar = (3-4i)*(3+4i) = 3*3 - 4*3i + 4*3i - (4i)*(3i) = 9 - 16*i^2 = 9 - 16*(-1) = 9 + 16 = 25.   <U>ANSWER</U>


     <U>Post solution note</U> :   z* z bar is always real non-negative number (almost always real  <U>positive</U>  number).



(2)  (z - w) = (3-4i) - (8+3i) = (3-8) + (-4i + 3i) = -5 - 7i.

     Therefore  (z - w) bar = (-5 - 7i) bar = -5 + 7i.    <U>ANSWER</U>
</pre>

Solved.