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) $14-i$

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: \(\boxed{-14+17 i}\)