To subtract the complex numbers \((5 + 7i)\) and \((8 - 7i)\), follow these steps:

\[
(5 + 7i) - (8 - 7i)
\]

Distribute the negative sign:

\[
= 5 + 7i - 8 + 7i
\]

Now combine the real and imaginary parts:

- Real part: \( 5 - 8 = -3 \)
- Imaginary part: \( 7i + 7i = 14i \)

So, the result is:

\[
-3 + 14i
\]

Would you like more details on complex number operations?

### Related Questions:
1. How do you multiply two complex numbers?
2. What is the conjugate of a complex number?
3. How do you find the magnitude of a complex number?
4. How do you divide complex numbers?
5. Can you represent complex numbers in polar form?

**Tip:** When subtracting or adding complex numbers, treat the real and imaginary parts separately.

Learn how to subtract complex numbers with the example (5 + 7i) - (8 - 7i). This detailed step-by-step solution explains how to distribute the negative sign and combine real and imaginary parts. Suitable for students in Grades 9-12 studying complex numbers in algebra.

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