SOLUTION: Hi, May I get some help with this equation?
Evaluate the expression and write the result in the form a + bi.
1/(9 + 2i) - 1/(2 + i)
Algebra.Com
Question 120436: Hi, May I get some help with this equation?
Evaluate the expression and write the result in the form a + bi.
1/(9 + 2i) - 1/(2 + i)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to simplify this, we need to get everything into standard form.
-------------------
Start with the first part of the expression.
\left(\frac{9-2i}{9-2i}\right))
Multiply the fraction by 
Foil and Multiply
Break up the fraction. So it is now in form where and
-----------------
Start with the second part of the expression
\left(\frac{2-1i}{2-1i}\right))
Multiply the fraction by 
Foil and Multiply
Break up the fraction. So it is now in form where and
-----------------------------
So we the expression goes from 
and becomes:
)
Distribute the negative
+\left(-\frac{2}{85}i+\frac{1}{5}i\right))
Group like terms
Combine like terms
So simplifies to
In other words 
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