Multiply (3-2i)*(4-2i)

Math
(3-2i)⋅(4-2i)
Expand (3-2i)(4-2i) using the FOIL Method.
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Apply the distributive property.
3(4-2i)-2i(4-2i)
Apply the distributive property.
3⋅4+3(-2i)-2i(4-2i)
Apply the distributive property.
3⋅4+3(-2i)-2i⋅4-2i(-2i)
3⋅4+3(-2i)-2i⋅4-2i(-2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 3 by 4.
12+3(-2i)-2i⋅4-2i(-2i)
Multiply -2 by 3.
12-6i-2i⋅4-2i(-2i)
Multiply 4 by -2.
12-6i-8i-2i(-2i)
Multiply -2i(-2i).
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Multiply -2 by -2.
12-6i-8i+4ii
Raise i to the power of 1.
12-6i-8i+4(i1i)
Raise i to the power of 1.
12-6i-8i+4(i1i1)
Use the power rule aman=am+n to combine exponents.
12-6i-8i+4i1+1
Add 1 and 1.
12-6i-8i+4i2
12-6i-8i+4i2
Rewrite i2 as -1.
12-6i-8i+4⋅-1
Multiply 4 by -1.
12-6i-8i-4
12-6i-8i-4
Subtract 4 from 12.
8-6i-8i
Subtract 8i from -6i.
8-14i
8-14i
Multiply (3-2i)*(4-2i)

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