the imaginary number i is equal to \\(\\sqrt{-1}\\), which expression is equivalent to \\(-(3 + 4i) + (8 +…

Explanation:

Step1: Distribute the negative sign

First, we distribute the negative sign in (-(3 + 4i)). This gives us (-3 - 4i).

Step2: Add the complex numbers

Now we add (-3 - 4i) and (8 + 7i). For the real parts: (-3 + 8 = 5). For the imaginary parts: (-4i + 7i = 3i). Combining these, we get (5 + 3i). Wait, no, wait, let's check again. Wait, the original expression is (-(3 + 4i)+(8 + 7i))? Wait, no, maybe I misread. Wait, the user's problem: let's re-express. Wait, the problem is (-(3 + 4i)+(8 + 7i))? Wait, no, looking at the image, the expression is (-(3 + 4i)+(8 + 7i))? Wait, no, maybe it's (-(3 + 4i)+(8 + 7i))? Wait, no, let's do the calculation again. Wait, (-(3 + 4i)) is (-3 - 4i). Then adding ((8 + 7i)): real parts: (-3 + 8 = 5), imaginary parts: (-4i + 7i = 3i). So (5 + 3i), which is option A. Wait, but let's check the options. Option A is (5 + 3i), B is (5 + 11i), C is (-5 - 3i), D is (-11 - 11i). So the correct calculation: (-(3 + 4i) + (8 + 7i) = -3 - 4i + 8 + 7i = (-3 + 8) + (-4i + 7i) = 5 + 3i). So the answer is A.

Answer:

A. (5 + 3i)