(3-3i)2

Rewrite (3-3i)2 as (3-3i)(3-3i).

(3-3i)(3-3i)

Apply the distributive property.

3(3-3i)-3i(3-3i)

Apply the distributive property.

3⋅3+3(-3i)-3i(3-3i)

Apply the distributive property.

3⋅3+3(-3i)-3i⋅3-3i(-3i)

3⋅3+3(-3i)-3i⋅3-3i(-3i)

Simplify each term.

Multiply 3 by 3.

9+3(-3i)-3i⋅3-3i(-3i)

Multiply -3 by 3.

9-9i-3i⋅3-3i(-3i)

Multiply 3 by -3.

9-9i-9i-3i(-3i)

Multiply -3i(-3i).

Multiply -3 by -3.

9-9i-9i+9ii

Raise i to the power of 1.

9-9i-9i+9(i1i)

Raise i to the power of 1.

9-9i-9i+9(i1i1)

Use the power rule aman=am+n to combine exponents.

9-9i-9i+9i1+1

Add 1 and 1.

9-9i-9i+9i2

9-9i-9i+9i2

Rewrite i2 as -1.

9-9i-9i+9⋅-1

Multiply 9 by -1.

9-9i-9i-9

9-9i-9i-9

Subtract 9 from 9.

0-9i-9i

Subtract 9i from 0.

-9i-9i

Subtract 9i from -9i.

-18i

-18i

Simplify (3-3i)^2