Identify the value of (9+8i) - (4+8i) + (9+2i)



Let's calculate the value of the given expression step by step:

\[
(9+8i) - (4+8i) + (9+2i)
\]

1. **Subtract** \((4 + 8i)\) from \((9 + 8i)\):

\[
(9 + 8i) - (4 + 8i) = (9 - 4) + (8i - 8i) = 5 + 0i = 5
\]

2. **Add** \((9 + 2i)\) to \(5\):

\[
5 + (9 + 2i) = (5 + 9) + (0i + 2i) = 14 + 2i
\]

Thus, the value of the expression is:

\[
\boxed{14 + 2i}
\]

Would you like more details or have any questions? Here are some related problems to explore:

1. Simplify \((6 + 4i) + (3 + 7i) - (5 + 2i)\).
2. Find the magnitude of \(14 + 2i\).
3. Subtract \((8 - 3i)\) from \((5 + 6i)\).
4. Add the complex numbers \((2 + 5i)\) and \((7 - 4i)\).
5. Solve \((12 + 9i) - (3 + 2i)\).

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

Identify the value of (9+8i) - (4+8i) + (9+2i)

Discover how to solve the complex number expression (9+8i) - (4+8i) + (9+2i) step by step. This solution demonstrates the process of adding and subtracting real and imaginary parts, suitable for students in Grades 9-12.

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