Answer:
- 1 - 23i
Step-by-step explanation:
The expression is
(3+i)-(5-7i)(-2+2i)
The answer to your question can be found in the image attached below.
We need to multiply the terms and add them together
(3+i) - [ (5)(-2+2i) +(-7i)(-2+2i) ]
= (3+i) - [ -10 +10i + 14i -14i^2]
= (3+i) - [ -10 +10i + 14i +(14)]
= (3+i) - [ 4 + 24i ]
= (3+i) - 4 - 24i
= - 1 - 23i