Applying properties of operations on complex numbers to solve problems

The expression (2 + 3i)² is equal to

• -5

• -5 + 12i

• 13

• 13 + 12i

(5-i)(5-i)

• 25-9i

• 26-10i

• 25-11i

• 24-10i

(3+8i)(-2-i)

• 2-19i

• 23-i

• 34+5i

• 23-i

Which expression is equivalent to (-6 + i)²?

• 36 - 12i
• 35 - 12i
• 36i²
• 35i

What is the product of the complex conjugates -7 - 2i and -7 + 2i?

• 53

• 50

• 52

• 51

If  $u=3-5i$  and  $v=-6+i$  which of the following is equivalent to  $\left(u+v\right)^2$  ?

•  $-7+24i$  

•  $9+8i$  

•  $9+16i$  

•  $25-24i$  

(-5+10i)(-5-10i) = 125

• True
• False

 $\left(4+i\right)^2$  Simplify

• 15

• 17

• 15 + 4i

• 15 + 8i