Simplify (7-6i)(3+2i)

Math
(7-6i)(3+2i)
Expand (7-6i)(3+2i) using the FOIL Method.
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Apply the distributive property.
7(3+2i)-6i(3+2i)
Apply the distributive property.
7⋅3+7(2i)-6i(3+2i)
Apply the distributive property.
7⋅3+7(2i)-6i⋅3-6i(2i)
7⋅3+7(2i)-6i⋅3-6i(2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 7 by 3.
21+7(2i)-6i⋅3-6i(2i)
Multiply 2 by 7.
21+14i-6i⋅3-6i(2i)
Multiply 3 by -6.
21+14i-18i-6i(2i)
Multiply -6i(2i).
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Multiply 2 by -6.
21+14i-18i-12ii
Raise i to the power of 1.
21+14i-18i-12(i1i)
Raise i to the power of 1.
21+14i-18i-12(i1i1)
Use the power rule aman=am+n to combine exponents.
21+14i-18i-12i1+1
Add 1 and 1.
21+14i-18i-12i2
21+14i-18i-12i2
Rewrite i2 as -1.
21+14i-18i-12⋅-1
Multiply -12 by -1.
21+14i-18i+12
21+14i-18i+12
Add 21 and 12.
33+14i-18i
Subtract 18i from 14i.
33-4i
33-4i
Simplify (7-6i)(3+2i)

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