Simplify the expression $$ (1 - 2i)(1 + 4i) $$ and write you...

Question Analysis
This problem assesses the student's ability to multiply complex numbers and simplify the result.

Key Concept Explanation
To multiply complex numbers, use the distributive property (FOIL method) and simplify by substituting .

Step-by-step Solution
1. Expand using the FOIL method:
2. Simplify each term: