jonathanpoueriet203 jonathanpoueriet203
  • 22-12-2020
  • Mathematics
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(2+3i)(1-2i)

What is the product of the complex number

Respuesta :

Muscardinus Muscardinus
  • 27-12-2020

Answer:

(2+3i)(1-2i)  = (8-i)

Step-by-step explanation:

The given complex number is :

Z = (2+3i)(1-2i)

We need to find the product of the complex number

[tex]Z=2(1)+2(-2i)+3i(1)-6i^2\\\\=2-4i+3i-6i^2[/tex]

We know that, [tex]i^2=-1[/tex]

[tex]Z=2-i-6(-1)\\\\=2-i+6\\\\=8-i[/tex]

Hence, the product of the complex number is (8-i).

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