Question

Simplify the expression.
(1 - 5i) + (2 + 4i)

Answer 1

To simplify (1 - 5i) + (2 + 4i), add the real numbers to get 3 and the imaginary numbers to get -i, resulting in the simplified expression 3 - i.

Step-by-step explanation:

To simplify the expression (1 - 5i) + (2 + 4i), you combine like terms. The real parts (1 and 2) are added together and the imaginary parts (-5i and +4i) are also added together.

The simplification process:

1. Add the real numbers: 1 + 2 = 3.
2. Add the imaginary numbers: -5i + 4i = -1i or simply -i.
3. Combine the results from steps 1 and 2 to get the simplified expression: 3 - i.