Simplifying Complex Numbers: (8 + 3i)  (6  2i)
This article will guide you through the process of simplifying the complex number expression (8 + 3i)  (6  2i).
Understanding Complex Numbers
Complex numbers are numbers that consist of a real part and an imaginary part. The imaginary part is denoted by the imaginary unit i, where i² = 1. They are written in the form a + bi, where 'a' is the real part and 'b' is the imaginary part.
Simplifying the Expression

Distribute the negative sign:
 (8 + 3i)  (6  2i) = 8 + 3i  6 + 2i

Combine real and imaginary terms separately:
 (8  6) + (3 + 2)i

Simplify:
 2 + 5i
Therefore, the simplified form of (8 + 3i)  (6  2i) is 2 + 5i.