Question

Simplify the expression.

(–2 – 2i)(–4 + 6i)

>8 – 4i
>8 – 12i
>20 – 4i
>–4 – 4i

Answer 1

20 - 4i is the correct answer!

Answer 2

Option 3rd is correct

`20-4i`

Explanation:

Given the expression:

`(-2-2i)(-4+6i)`

Multiply the first term of the first expression to the second expression and second term of the first expression to the second expression

we have;

`-2(-4+6i)-2i(-4+6i)`

Using distributive property:
`a \cdot (b+c) =a\cdot b + a\cdot c`

Also, we know:
`i^2 = -1`

then;

`8-12i+8i-12i^2`

⇒
`8-12i+8i+12`

Combine like terms;

⇒
`20-4i`

Therefore, the simplified given expression is,
`20-4i`