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What is the value of (2 + 3i) - (1 + 2i)? (2014)

Practice Questions

Q1
What is the value of (2 + 3i) - (1 + 2i)? (2014)
  1. 1 + i
  2. 1 + i^2
  3. 2 + i
  4. 3 + i

Questions & Step-by-Step Solutions

What is the value of (2 + 3i) - (1 + 2i)? (2014)
  • Step 1: Identify the two complex numbers: (2 + 3i) and (1 + 2i).
  • Step 2: Write the expression to subtract the second complex number from the first: (2 + 3i) - (1 + 2i).
  • Step 3: Separate the real parts and the imaginary parts: (2 - 1) for the real part and (3i - 2i) for the imaginary part.
  • Step 4: Calculate the real part: 2 - 1 = 1.
  • Step 5: Calculate the imaginary part: 3i - 2i = 1i.
  • Step 6: Combine the results from Step 4 and Step 5: 1 + 1i.
  • Step 7: Write the final answer: 1 + i.
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