SOLUTION: Perform the indicated operation.. {{{ (9-8i)+(7+2i) }}}. {{{ (3+4i)(2-6i) }}}. {{{ (6+3i)/(2+2i) }}}.

Question 151572: Perform the indicated operation..
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Answer by jim_thompson5910(35256) (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 First terms:.

Multiply the Outer terms:.

Multiply the Inner terms:.

Multiply the Last 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

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