Respuesta :

Answer:

  • 4 - 4(√3 - 4)i

Step-by-step explanation:

Given

  • z₁  = 4 - 4√3i
  • z₂ = -16i

To find

  • z₁ - z₂

Solution

  • z₁ - z₂ =
  • 4 - 4√3i - (-16i) =
  • 4 - 4√3i + 16i =
  • 4 - 4(√3i - 4i) =
  • 4 - 4(√3 - 4)i

Correct option is C

Answer:

[tex]z1 = 4 - 4 \sqrt{3} i \\ z2 = - 16i \\ z1 - z2 = (4 - 4 \sqrt{3} i) - ( - 16i) \\ = 4 - 4 \sqrt{3} i + 16i \\ = \boxed{4 - 4( \sqrt{3} - 4)i}[/tex]

3) 4-4(√3-4)i is the right answer.