Respuesta :

Answer:

7 + 11i

Step-by-step explanation:

Simplify: (2 +8i)-(-5 - 3i) = 2 + 8i + 5 + 3i  

Add real numbers to real numbers and imaginary to imaginary: 2 + 8i + 5 + 3i = 7 + 11i

A complex number can be shown as a pair of integers (a, b). The difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.

What is a complex number?

A complex number can be shown as a pair of integers (a, b) forming a vector on an Argand diagram, which represents the complex plane.

The difference of the complex number can be done as following,

(2+8i)-(-5-3i)

= 2 + 8i + 5 + 3i

= 5+2 + 8i+3i

= 7 + 11i

Hence, the difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.

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