Simplify (3-3i)^2

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

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