To solve the expression \((3 + i) - (7 - i)\), follow these steps:

1. Distribute the negative sign:
   \[
   (3 + i) - (7 - i) = 3 + i - 7 + i
   \]

2. Combine the real parts:
   \[
   3 - 7 = -4
   \]

3. Combine the imaginary parts:
   \[
   i + i = 2i
   \]

So, the simplified result is:
\[
-4 + 2i
\]

Would you like more details or further explanations?

Here are 5 related questions to explore:

1. What are complex numbers and how are they used in mathematics?
2. How do you multiply complex numbers?
3. What is the complex conjugate of a number?
4. How do you calculate the magnitude (or modulus) of a complex number?
5. How do you add or subtract more than two complex numbers?

**Tip:** When dealing with complex numbers, always separate real and imaginary parts to simplify operations.

This page provides a step-by-step solution to the complex number expression (3 + i) − (7 − i). It covers essential concepts like the addition and subtraction of complex numbers and uses the distributive property to simplify the expression to -4 + 2i. Suitable for students in Grades 9-11.

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