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

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

Options:

Correct Answer: 1 + i

Exam Year: 2014

Solution:

(2 + 3i) - (1 + 2i) = (2 - 1) + (3i - 2i) = 1 + i.

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

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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