The given expression is:

$(7 - 3i) + (3 + 5i)$

To simplify this and write it in the standard form $a + bi$, we combine the real parts and the imaginary parts separately:

• Real part: $7 + 3 = 10$
• Imaginary part: $-3i + 5i = 2i$

So, the simplified expression in the form $a + bi$ is:

$10 + 2i$

Let me know if you'd like further clarification or have additional questions!

5 Related Questions

1. How can we add more complex numbers involving fractions?
2. What is the significance of writing complex numbers in standard form $a + bi$?
3. Can you multiply $(7 - 3i) \times (3 + 5i)$?
4. How do we determine the modulus of a complex number like $10 + 2i$?
5. How can this be represented geometrically in the complex plane?

Tip

When adding or subtracting complex numbers, always combine the real and imaginary parts separately to ensure clarity.