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

Math
(2-6i)(3-3i)
Expand (2-6i)(3-3i) using the FOIL Method.
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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 and combine like terms.
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Simplify each term.
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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).
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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)

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