Simplifying Complex Numbers: (8  4i)  (2  7i)
This article will guide you through the process of simplifying the expression (8  4i)  (2  7i). We will break down the steps involved in subtracting complex numbers.
Understanding Complex Numbers
A complex number is a number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of 1.
Simplifying the Expression
To subtract complex numbers, we subtract the real parts and the imaginary parts separately.

Distribute the negative sign: (8  4i)  (2  7i) = 8  4i  2 + 7i

Combine like terms: (8  2) + (4 + 7)i = 6 + 3i
The Solution
Therefore, the simplified form of (8  4i)  (2  7i) is 6 + 3i.