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: $\boxed{-14+17 i}$

Steps

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

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: $9i - (-8i) = 17i$.

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

Step 5 ：Final Answer: $\boxed{-14+17 i}$