To simplify the expression, we will first distribute the terms inside the parentheses:
(3 - 2i)(1 + 7i) = 3 + 21i - 2i - 14i^2= 3 + 21i - 2i + 14 (since i^2 = -1)= 17 + 19i
Now, we substitute this back into the original expression:
2 - i + i + (17 + 19i)= 2 + 17 + 19i= 19 + 19i
Therefore, the simplified expression is 19 + 19i.
To simplify the expression, we will first distribute the terms inside the parentheses:
(3 - 2i)(1 + 7i) = 3 + 21i - 2i - 14i^2
= 3 + 21i - 2i + 14 (since i^2 = -1)
= 17 + 19i
Now, we substitute this back into the original expression:
2 - i + i + (17 + 19i)
= 2 + 17 + 19i
= 19 + 19i
Therefore, the simplified expression is 19 + 19i.