rashelmoreno19 rashelmoreno19
  • 03-04-2017
  • Mathematics
contestada

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

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brneyestx722
brneyestx722 brneyestx722
  • 03-04-2017
the answer is 73 hope it helped
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lisboa lisboa
  • 17-06-2019

Answer:

(3 + 8i)(3 – 8i) = 73

Step-by-step explanation:

[tex](3 + 8i)(3 – 8i)[/tex]

To multiply it we use FOIL method

First we multiply 3 by the terms inside second parenthesis

[tex]3*3= 9[/tex]

[tex]3 * -8i= -24[/tex]

Now we multiply 8i inside second parenthesis

[tex]8i * 3= 24i[/tex]

[tex]8i * (-8i) = -64i^2[/tex]

Combine all the terms

[tex]9 - 24i + 24i - 64i^2[/tex]

The value of i^2 = -1

[tex]9 - 24i + 24i - 64(-1)[/tex]

9 + 64= 73

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