Question

Simplify the expression.

(-2-2i)(-4+6i)
Answer Choices:
8-4i
8-12i
20-4i
-4-4i

Answer 1

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 *-4)+(-2 * 6 i)+(-2 i *-4)+(-2 i * 6 i)} \\\\ {=8-12 i+8 i-12 i^(2)} \\\\ {=8-4 i-12 *-1} \\\\ {=8+12-4 i} \\\\ {=20-4 i}\end{array}`

Therefore, the correct option is 20 - 4i.