Respuesta :

Answer:

26-7i

Step-by-step explanation:

1. expand it you will get : 20-15i+8i+6 ( notice that i^2= -1 )

2. simplify it: 26-7i

Using complex numbers, it is found that the result of the multiplication is: 26 - 7i

  • A complex number has the format: [tex]z = a + bi[/tex]
  • The important relation is: [tex]i^2 = -1[/tex].

In this problem, the multiplication is: [tex](5 + 2i)(4 - 3i)[/tex].

Applying the distributive property:

[tex](5 + 2i)(4 - 3i) = 20 - 15i + 8i -6i^2 = 20 - 7i + 6 = 26 - 7i[/tex]

The result is: 26 - 7i

A similar problem is given at https://brainly.com/question/19392811

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