Solve $(- 10 + 9 i) - 4 (1 - 2 i)$ and write the answer in standard form.
(A) $- 14 + i$
(B) $- 14 + 17 i$
(C) $14 - 17 i$
(D) $14 - i$

Answer

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Answer

Final Answer: $- 14 + 17 i$

Steps

Step 1 ：Distribute the 4 in the second term to both the real and imaginary parts: $4 (1 - 2 i) = 4 - 8 i$ .

Step 2 ：Subtract the real part of the second term from the real part of the first term: $- 10 - 4 = - 14$ .

Step 3 ：Subtract the imaginary part of the second term from the imaginary part of the first term: $9 i - (- 8 i) = 17 i$ .

Step 4 ：The result of the subtraction is $- 14 + 17 i$ , which is in the standard form for a complex number.

Step 5 ：Final Answer: $- 14 + 17 i$