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5 votes
Simplify 13 over the quantity of negative 3 plus 2i.

User J Brand
by
7.6k points

1 Answer

4 votes

13

3

+

2

i

Multiply by

3

2

i

3

2

i

to make the denominator of

13

3

+

2

i

real.

13

3

+

2

i

3

2

i

3

2

i

Combine.

13

(

3

2

i

)

(

3

+

2

i

)

(

3

2

i

)

Expand

(

3

+

2

i

)

(

3

2

i

)

using the FOIL Method.

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13

(

3

2

i

)

3

3

3

(

2

i

)

+

2

i

3

+

2

i

(

2

i

)

Simplify.

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13

(

3

2

i

)

9

4

i

2

Simplify each term.

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13

(

3

2

i

)

9

+

4

Reduce the expression by cancelling the common factors.

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3

2

i

User E H
by
7.8k points

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