Question

Simplify the expression.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The simplification of (-2 - 2i)( -4 + 6i) is 20 - 4i

SOLUTION:

In this particular question we have been asked to simplify the given equation containing complex numbers.

The given equation is:  

(-2-2i)(-4+6i)  

To simplify the equation we have to open the brackets and multiply.

Before we do that we need to know the value of i.

‘i’ is as complex number with a value of $\sqrt-1$ and $i^2$ has a value of -1

So now we can calculate the given expression as follows:

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

$\begin{array}{l}{=(-2 \times-4)+(-2 \times 6 i)+(-2 i \times-4)+(-2 i \times 6 i)} \\\\ {=8-12 i+8 i-12 i^{2}} \\\\ {=8-4 i-12 \times-1} \\\\ {=8+12-4 i} \\\\ {=20-4 i}\end{array}$

Therefore, the correct option is 20 - 4i.