Multiply (1-2i)(8+2i)

Math
(1-2i)(8+2i)
Expand (1-2i)(8+2i) using the FOIL Method.
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Apply the distributive property.
1(8+2i)-2i(8+2i)
Apply the distributive property.
1⋅8+1(2i)-2i(8+2i)
Apply the distributive property.
1⋅8+1(2i)-2i⋅8-2i(2i)
1⋅8+1(2i)-2i⋅8-2i(2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 8 by 1.
8+1(2i)-2i⋅8-2i(2i)
Multiply 2i by 1.
8+2i-2i⋅8-2i(2i)
Multiply 8 by -2.
8+2i-16i-2i(2i)
Multiply -2i(2i).
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Multiply 2 by -2.
8+2i-16i-4ii
Raise i to the power of 1.
8+2i-16i-4(i1i)
Raise i to the power of 1.
8+2i-16i-4(i1i1)
Use the power rule aman=am+n to combine exponents.
8+2i-16i-4i1+1
Add 1 and 1.
8+2i-16i-4i2
8+2i-16i-4i2
Rewrite i2 as -1.
8+2i-16i-4⋅-1
Multiply -4 by -1.
8+2i-16i+4
8+2i-16i+4
Add 8 and 4.
12+2i-16i
Subtract 16i from 2i.
12-14i
12-14i
Multiply (1-2i)(8+2i)

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