Applying properties of operations on complex numbers to solve problems

Simplify: (3 - 5i )(3 + 5i )

• 9 - 25i

• 9 + 25i

• -16

• 34

What is the product of the complex conjugates 5 - 4i and 5 + 4i?

• 41

• 39

• 40

• 38

• 41

• 9

• 41 - 40i

• -9

Simplify: (6 - 2i)^2

• 32 - 24i

• 36 + 24i

• 32 + 24i

• 36 - 24i

 $-3i\times6$  

•  $-18$  

•  $18i$  

•  $-18i^2$  

•  $-18i$  

• -20

Find the product of

(-2 + 3i)(-2 - 3i)

• -13

• 13

• 13i

• -13i

Simplify:

(-2 + i)²

• 3

• 4 + i²

• 3 - 4i

• 4i²