Questions: Perform the indicated operations simplify. Add: (18-25 i)+(20+12 i) sum = □ Subtract: (18-25 i)-(20+12 i) difference = □

Transcript text: Perform the indicated operations \& simplify. Add: $(18-25 i)+(20+12 i)$ sum $=$ $\square$ Subtract: $(18-25 i)-(20+12 i)$ difference $=$ $\square$ Submit Question

Solution

Solution Steps

Step 1: Identify the real and imaginary parts of the complex numbers

The first complex number is $18 - 25i$, with real part 18 and imaginary part -25. The second complex number is $20 + 12i$, with real part 20 and imaginary part 12.

Step 2: Perform the indicated operation

For addition, we add the real parts: 18 + 20 = 38 And add the imaginary parts: -25 + 12 = -13i

Final Answer:

The result is $38 - 13i$.

Step 1: Identify the real and imaginary parts of the complex numbers

The first complex number is $18 - 25i$, with real part 18 and imaginary part -25. The second complex number is $20 + 12i$, with real part 20 and imaginary part 12.

Step 2: Perform the indicated operation

For subtraction, we subtract the real parts: 18 - 20 = -2 And subtract the imaginary parts: -25 - 12 = -37i

Final Answer:

The result is $-2 - 37i$.

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