Respuesta :

carlosego
We have the following expressions:
 x = 3 + 8i
 y = 7 - i
 -x * y = (- 3 - 8i) * (7 - i) = -21 + 3i - 56i - 8 = -29 -53i
 2x-3y = 2 (3 + 8i) - 3 (7 - i) = 6 + 16i - 21 + 3i = -15 + 19i
 -5x + y = -5 (3 + 8i) + (7 - i) = -15 - 40i + 7 - i = -8 -41i
 x * 2y = (3 + 8i) * (14 - 2i) = 42 - 6i + 112i + 16 = 58 + 106i
 Answer:
 -x * y = -29 -53i
 2x-3y = -15 + 19i
 -5x + y = -8 -41i
 x * 2y = 58 + 106i
abidemiokin

The correct matches of the following operations are:

  • -x * y = -53i - 29
  • 2x - 3y = 19i - 15
  • -5x + y = -41i - 8
  • x * 2y = 106i + 58

Given the complex numbers

x = 3 + 8i and y = 7 - i,

To get -x * y

-x * y = -(3-8i) * (7-i)

-x*y = (-3+8i)(7-i)

-x * y = -21+3i-56i-8(-1)

-x * y = -21-53i-8

-x * y = -53i - 29

For 2x - 3y

2x - 3y = 2(3+8i) - 3(7 - i)

2x - 3y = 6 + 16i - 21 + 3i

2x - 3y = 19i - 15

For -5x + y

-5x +  y = -5(3 + 8i) + 7 - i

-5x + y = -15 - 40i + 7 - i

-5x + y = -41i - 8

For x * 2y

x * 2y = (3 + 8i)*2(7-i)

x * 2y = (3 + 8i)(14-2i)

x * 2y = 42 - 6i + 112i - 16(-1)

x * 2y = 106i + 42 + 16

x * 2y = 106i + 58

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