Respuesta :

mhanifa

Answer:

  • 14 + 8i

Step-by-step explanation:

Given expression:

  • (5 + 2i) - (9i² - 6i)

Simplify by opening parenthesis and considering that i² = - 1:

  • (5 + 2i) - (9i²-6i) =
  • 5 + 2i - 9(-1) + 6i =
  • 5 + 8i + 9 =
  • 14 + 8i
  • i=√-1

[tex]\\ \tt\longmapsto (5+2i)-(9i^2-6i)[/tex]

[tex]\\ \tt\longmapsto 5+2i-9i^2+6i[/tex]

[tex]\\ \tt\longmapsto 5+8i+9[/tex]

[tex]\\ \tt\longmapsto 8i+14[/tex]