Question

Multiply.
(3 – 4i)(–2 – 2i)
Enter your answer in the box.

Answer 1

`\Huge \boxed{-14 + 2i}`

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