Questions: Subtract. (-3+4i)-(-4+i) Write your answer as a complex number in standard form.

Transcript text: Subtract. \[ (-3+4 i)-(-4+i) \] Write your answer as a complex number in standard form.

Solution

Step 1: Distribute the negative sign

\[ (-3 + 4i) - (-4 + i) = -3 + 4i + 4 - i \]

Step 2: Combine like terms (real and imaginary parts)

\[ (-3 + 4) + (4i - i) = 1 + 3i \]

Step 3: Write the final answer in standard form

The standard form of a complex number is \( a + bi \), so the final answer is: \[ 1 + 3i \]

\(\boxed{1 + 3i}\)

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