Write the following expressions as a complex number in standard form.
Form the conjugate of by changing the sign of the term
containing and leaving the sign of the first term.
Thus the conjugate of is .
Place that conjugate over itself, like this ,
which just equals 1, and so we can now multiply the original
expression by that without changing its value:
Using FOIL on top and bottom:
Combining like terms (the middle terms cancel in the bottom)
Replace by
Simplify:
Make two fractions, and write the as multiplied on the right of
the second fraction, so it will be in the standard form :
Reduce the fractions
Edwin