How can I simplify the expression 1 + 3i – 2 + 5i?

To simplify the expression 1 + 3i – 2 + 5i, we need to combine like terms, specifically the real parts and the imaginary parts separately.

1. Start by identifying the real parts and imaginary parts of the expression:

  • Real parts: 1 and -2
  • Imaginary parts: 3i and 5i

2. Combine the real parts:

1 - 2 = -1

3. Combine the imaginary parts:

3i + 5i = 8i

4. Now, put the combined results together:

-1 + 8i

Thus, the simplified expression is -1 + 8i.

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