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sertanlavr [38]
3 years ago
8

What is the product of 3+2i and 3-2i?

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Step-by-step explanation:

(3 + 2i)(3  -  2i) \\  \\  =  {3}^{2}  -  {(2i)}^{2}  \\  \\  = 9 - 4 {i}^{2}  \\  \\  = 9 - 4( - 1).. ( \because \:  {i}^{2} =  - 1)  \\  \\  = 9 + 4 \\  \\  = 13 \\  \\  \therefore \: (3 + 2i)(3  -  2i) = 13

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Twice the sum of a number and 5 is equal to three times the difference of the number and 2
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Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

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Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

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