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

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

Simplifying Complex Numbers

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

  2. Combine real and imaginary terms separately: (-2 + 5 + 5) + (-4 + 2 + 5)i

  3. Simplify: 8 + 3i

Final Answer

Therefore, the simplified form of the expression (-2 - 4i) - (-5 - 2i) - (-5 - 5i) is 8 + 3i.

Related Post


Featured Posts