To simplify the expression, we need to combine like terms. The given expression is:
4 + 7i – 3 + 4i
First, let’s group the real numbers and the imaginary numbers together:
(4 – 3) + (7i + 4i)
Now, we can perform the calculations for both the real and imaginary parts:
1 + 11i
Therefore, the simplified form of the expression is:
1 + 11i