(2-6i)(3-3i)

Apply the distributive property.

2(3-3i)-6i(3-3i)

Apply the distributive property.

2⋅3+2(-3i)-6i(3-3i)

Apply the distributive property.

2⋅3+2(-3i)-6i⋅3-6i(-3i)

2⋅3+2(-3i)-6i⋅3-6i(-3i)

Simplify each term.

Multiply 2 by 3.

6+2(-3i)-6i⋅3-6i(-3i)

Multiply -3 by 2.

6-6i-6i⋅3-6i(-3i)

Multiply 3 by -6.

6-6i-18i-6i(-3i)

Multiply -6i(-3i).

Multiply -3 by -6.

6-6i-18i+18ii

Raise i to the power of 1.

6-6i-18i+18(i1i)

Raise i to the power of 1.

6-6i-18i+18(i1i1)

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

6-6i-18i+18i1+1

Add 1 and 1.

6-6i-18i+18i2

6-6i-18i+18i2

Rewrite i2 as -1.

6-6i-18i+18⋅-1

Multiply 18 by -1.

6-6i-18i-18

6-6i-18i-18

Subtract 18 from 6.

-12-6i-18i

Subtract 18i from -6i.

-12-24i

-12-24i

Multiply (2-6i)(3-3i)