Simplify the given expression below: (1 + 3i) + (2 - 5i).

Solution:

Given expression (1 + 3i) + (2 - 5i) is a complex number.

Here, we group real and imaginary parts and then add them;

(1 + 3i) + (2 - 5i) = 1 + 3i + 2 - 5i

= (1 + 2) + (3 - 5)i

= 3 - 2i

Example: Simplify (1 + i) + (2 + 5i) + (2 - i)

Given, (1 + i) + (2 + 5i) + (2 - i)

Group real and imaginary parts and add;

(1 + i) + (2 + 5i) + (2 - i) = 1 + i + 2 + 5i + 2 - i

= (1 + 2 + 2) + (1 + 5 - 1)i

= 5 + 5i

Simplify the given expression below: (1 + 3i) + (2 - 5i).

Summary:

The given expression (1 + 3i) + (2 - 5i) can be simplified as 3 - 2i.