Jasonbradley
Home

(-4-7i)-(4+5i)-(2-i)

less than a minute read Jun 16, 2024
(-4-7i)-(4+5i)-(2-i)

Simplifying Complex Numbers: (-4 - 7i) - (4 + 5i) - (2 - i)

This article will guide you through the steps to simplify the expression: (-4 - 7i) - (4 + 5i) - (2 - i)

Understanding Complex Numbers

Complex numbers are numbers 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

  1. Distribute the negative signs:

    • (-4 - 7i) - (4 + 5i) - (2 - i) = -4 - 7i - 4 - 5i - 2 + i

  2. Combine real and imaginary terms:

    • (-4 - 4 - 2) + (-7 - 5 + 1)i

  3. Simplify:

    • -10 - 11i

Conclusion

Therefore, the simplified form of (-4 - 7i) - (4 + 5i) - (2 - i) is -10 - 11i.

This process demonstrates how to manipulate complex numbers using basic arithmetic operations. Remember to treat the imaginary unit "i" as a variable, and always combine real and imaginary terms separately.

Related Post

Featured Posts