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What is the result of (21+9i) - (13-22)?

Options:
a) 8+31i
b) 8-31i
c) 34+13i
d) 34-13i

1 Answer

5 votes

Final answer:

The result of subtracting the complex numbers (21+9i) and (13-22i) is 8 + 31i.

Step-by-step explanation:

The student is asking for the result of the subtraction of two complex numbers: (21+9i) - (13-22i). To solve this, we subtract the real parts and the imaginary parts separately:

  • Real parts: 21 - 13 = 8
  • Imaginary parts: 9i - (-22i) = 9i + 22i = 31i

Therefore, the result is 8 + 31i.

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