Applying Properties of Operations on Complex Numbers to Solve Problems

The expression (2 + 3i)² is equal to

• -5

• -5 + 12i

• 14

• 13 + 12i

4i(5i+2)

• -20+8i

• 20+8i

• -20+i

• -9+6i

Simplify:

-2(6 - 2i)

• -12 - 4i

• 12 - 4i

• -12 + 4i

• 12 + 4i

(4-5i)(4+5i)

• 41

• -9

• 41+40i

• -9+40i

Find all equivalent forms of (4 - i )(5 + 2i )

• 20 - 5i + 8i - 2i ²

• 22 + 13i

• 22 + 3i

• 20 + 3i + 2

SImplify:

(5 - 3i)²

• 25 + 9i

• 16 - 30i

• 25 + 9i²

• 16 + 30i

Simplify the following.

• A

• B

• C

• D

(-7+6i)²

• 49+36i

• 85

• 13-84i

• 13+84i

Multiply:

(5 + 2i)(5 - 2i)

• 10

• 29

• -21

• 20

Simplify the product of (-3 + 4i) and (1 + 2i).

• -11 + 2i

• 11 + 2i

• -11 + 4i

• -11 - 2i