Answer:
Option 3rd is correct
[tex]20-4i[/tex]
Step-by-step explanation:
Given the expression:
[tex](-2-2i)(-4+6i)[/tex]
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;
[tex]-2(-4+6i)-2i(-4+6i)[/tex]
Using distributive property: [tex]a \cdot (b+c) =a\cdot b + a\cdot c[/tex]
Also, we know: [tex]i^2 = -1[/tex]
then;
[tex]8-12i+8i-12i^2[/tex]
⇒[tex]8-12i+8i+12[/tex]
Combine like terms;
⇒[tex]20-4i[/tex]
Therefore, the simplified given expression is, [tex]20-4i[/tex]
