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SOLUTION: Perform the indicated operation.. {{{ (9-8i)+(7+2i) }}}. {{{ (3+4i)(2-6i) }}}. {{{ (6+3i)/(2+2i) }}}.
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-> SOLUTION: Perform the indicated operation.. {{{ (9-8i)+(7+2i) }}}. {{{ (3+4i)(2-6i) }}}. {{{ (6+3i)/(2+2i) }}}.
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Question 151572
:
Perform the indicated operation..
.
.
.
Answer by
jim_thompson5910(33401)
(
Show Source
):
You can
put this solution on YOUR website!
Start with the given expression.
Group like terms
Combine like terms
So
So the expression is in standard form
where
and
Start with the given expression.
Now let's FOIL the expression.
Remember, when you FOIL an expression, you follow this procedure:
Multiply the
F
irst terms:
.
Multiply the
O
uter terms:
.
Multiply the
I
nner terms:
.
Multiply the
L
ast terms:
.
Now collect every term to make a single expression.
Now combine like terms.
So
FOILS to
.
In other words,
.
So the expression is in standard form
where
and
Start with the given expression
Multiply by the fraction by
. Note
is the conjugate of
.
Combine the fractions
Foil the denominator
Combine like terms
Rewrite
as
Multiply
Add
FOIL the numerator
Rewrite
as
Multiply
Combine like terms.
Break up the fraction
Reduce
So
.
So the expression is in standard form
where
and