(11-8i)-(2-8i)

Jasonbradley

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Jun 16, 2024

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Subtracting Complex Numbers: (11 - 8i) - (2 - 8i)

This article will guide you through the subtraction of two complex numbers: (11 - 8i) - (2 - 8i).

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.

Subtracting Complex Numbers

To subtract complex numbers, we simply subtract the real parts and the imaginary parts separately.

Step-by-Step Solution

1. Distribute the negative sign:

   (11 - 8i) - (2 - 8i) = 11 - 8i - 2 + 8i

2. Combine the real terms and the imaginary terms:

   (11 - 2) + (-8i + 8i)

3. Simplify the expression:

   9 + 0i

4. Final result:

   (11 - 8i) - (2 - 8i) = 9

Conclusion

Therefore, the result of subtracting (2 - 8i) from (11 - 8i) is 9. Notice that the imaginary terms cancel out, leaving only a real number as the answer.