I need step by step explanations and answers to these multiple choice problems?
1) Simplify the expression.
(3 – i)(2 – 2i)
A) 4 + 4i
B) -6 + 6i
C) -6 + 2i
D) 4 – 8i
2) Simplify the expression.
(1- 4i)(2 + i)
A) 4 – 8i
B) -2 – 7i
C) 2 – 11i
D) 6 – 7i
3) Simplify the expression.
(3 – 4i) – (1 – 4i)
A) 2 – 8i
B) 2
C) 2 + 8i
D) 4
4) Simplify the expression.
(5 – 2i) + (4 + 4i)
A) 11i
B) 9 + 2i
C) 9 + 6i
D) 1 + 2i
5) Simplify the expression.
i^13
A) 1
B) -1
C) i
D) -i
6) Simplify the expression.
A) 8ix^2
B) 8i^2x^2
C) -8x^2
D) -8ix^2
7) Simplify the expression.
A) 9
B) -9
C) 9i
D) -9i