Answer:
[tex]\Huge \boxed{-14 + 2i}[/tex]
Step-by-step explanation:
(3 – 4i)(–2 – 2i)
Expanding brackets.
3(-2 - 2i) - 4i(-2 - 2i)
-6 -6i + 8i + 8i²
Apply imaginary number rule : i² = -1
-6 - 6i + 8i + 8(-1)
-6 - 6i + 8i - 8
Combining like terms.
-6 - 8 - 6i + 8i
-14 + 2i
