Question

question 6
subtract.
(-4 + 7i) - (3 - 3i)
-7 + 4i
-1 + 4i
-7 - 10i
-7 + 10i

Explanation:

Step1: Distribute the subtraction

To subtract the complex numbers, we first distribute the negative sign to the second complex number: \((-4 + 7i) - (3 - 3i)=-4 + 7i - 3 + 3i\)

Step2: Combine like terms (real and imaginary parts)

For the real parts: \(-4-3=-7\)
For the imaginary parts: \(7i + 3i = 10i\)
Combining these results, we get \(-7 + 10i\)

Answer:

\(-7 + 10i\) (corresponding to the option with \(-7 + 10i\))