(5-i)-(3-2i)

Jasonbradley

2 min read

·

Jun 16, 2024

12

Share

Subtracting Complex Numbers: (5-i)-(3-2i)

This article will guide you through the process of subtracting complex numbers, using the example of (5 - i) - (3 - 2i).

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.

Subtracting Complex Numbers

Subtracting complex numbers is similar to subtracting binomials. We simply subtract the real and imaginary components separately.

Step 1: Distribute the negative sign

The negative sign in front of the second complex number needs to be distributed to both its terms:

(5 - i) + (-1) * (3 - 2i)

This becomes:

(5 - i) + (-3 + 2i)

Step 2: Combine the real and imaginary terms

Now, group the real terms together and the imaginary terms together:

(5 - 3) + (-1 + 2)i

Step 3: Simplify

Finally, perform the simple addition:

2 + i

Conclusion

Therefore, the result of subtracting (3 - 2i) from (5 - i) is 2 + i.

By following these steps, you can confidently subtract any two complex numbers.