Jasonbradley
Home

(2-i)-(4i)+(4+5i)

less than a minute read Jun 16, 2024
(2-i)-(4i)+(4+5i)

Simplifying Complex Numbers: (2-i)-(4i)+(4+5i)

This article will guide you through simplifying the complex number expression: (2-i)-(4i)+(4+5i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where:

  • a and b are real numbers.
  • i is the imaginary unit, defined as the square root of -1 (i² = -1).

Simplifying the Expression

  1. Distribute the negative sign: (2 - i) - (4i) + (4 + 5i) becomes 2 - i - 4i + 4 + 5i

  2. Combine like terms: (2 + 4) + (-1 - 4 + 5)i

  3. Simplify: 6 + 0i

Final Result

The simplified form of the expression (2-i)-(4i)+(4+5i) is 6.

Note: Since the imaginary component is zero, the simplified result is a real number.

Related Post

Featured Posts