Verified Answer :

spacehunter22

20 - 4i is the correct answer!

Answer:

Option 3rd is correct

\(20-4i\)

Step-by-step 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, \(20-4i\)

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