Questions: Equations and Inequalities Adding or subtracting complex numbers Subtract. [ (-3+2 i)-(-2+4 i) ] Write your answer as a complex number in standard form.

Equations and Inequalities
Adding or subtracting complex numbers

Subtract.
[
(-3+2 i)-(-2+4 i)
]

Write your answer as a complex number in standard form.

Transcript text: Equations and Inequailities Adding or subtracting complex numbers Subtract. \[ (-3+2 i)-(-2+4 i) \] Write your answer as a co plex number in standard form. $\square$ $\sqrt{\square}$ $i$

Solution

Subtract the complex numbers:
\[ (-3+2i)-(-2+4i) \]

Distribute the negative sign

\[ (-3 + 2i) + 2 - 4i \]

Combine like terms (real and imaginary parts)

\[ (-3 + 2) + (2i - 4i) = -1 - 2i \]

The result is:
\[ \boxed{-1 - 2i} \]

The final answer is:
\[ \boxed{-1 - 2i} \]

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