The problem you're working on asks you to subtract and simplify the following complex numbers:

$(10 + 6i) - (5 + 4i)$

Steps to simplify:

1. Group the real and imaginary parts: $(10 - 5) + (6i - 4i)$

2. Perform the subtraction:

   • Real part: $10 - 5 = 5$
   • Imaginary part: $6i - 4i = 2i$

3. Final answer: $5 + 2i$

So, the simplified result is $5 + 2i$.

Let me know if you need further details or have any questions!

Related Questions:

1. What is the general process for adding complex numbers?
2. How would you multiply two complex numbers, such as $(2 + 3i)(4 + 5i)$?
3. What is the geometric interpretation of complex numbers on the complex plane?
4. How can you find the modulus and argument of a complex number like $3 + 4i$?
5. What is the significance of the imaginary unit $i$, and how does $i^2 = -1$ influence calculations?

Tip:

Always keep real and imaginary parts separate during addition or subtraction to avoid mistakes!