QuestionSimplify. $(-4-2 i)(-4)$
Write your answer in the form a + bi.

Studdy Solution

STEP 1

1. We are asked to simplify the expression involving complex numbers.
2. The expression is in the form of a product of a complex number and a real number.
3. The result should be expressed in the form $a + bi$ , where $a$ and $b$ are real numbers.

STEP 2

1. Distribute the real number across the terms in the complex number.
2. Simplify the resulting expression to the form $a + bi$ .

STEP 3

Distribute the real number $-4$ across the terms in the complex number $(-4 - 2i)$ .
$(-4)(-4) + (-4)(-2i)$

STEP 4

Calculate each part of the distribution:
$(-4)(-4) = 16$
$(-4)(-2i) = 8i$
Combine these results to form the expression in the form $a + bi$ :
$16 + 8i$
The simplified expression is:
$\boxed{16 + 8i}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms