Question

Perform the indicated operation and simplify. Write the result in the form a+bi.

(4-5i)-(6-31) a. -2-2i b.-2-8i c. 10-8i d. 9

Answer 1

After subtracting the real parts (4 and 6) and imaginary parts (-5i and -3i) of the complex numbers, the expression simplifies to -2 - 2i, which is answer choice (a).

Step-by-step explanation:

To perform the indicated operation and simplify the expression (4-5i)-(6-3i) to the form a+bi, we will subtract the real parts and the imaginary parts separately.

• Subtract the real parts: 4 - 6 = -2
• Subtract the imaginary parts: -5i - (-3i) = -5i + 3i = -2i

Combining the results gives us -2 - 2i. Therefore, the simplified form of the expression is -2 - 2i, which corresponds to answer choice (a).