Multiply (3-5i)*(6+2i)

Math
(3-5i)⋅(6+2i)
Expand (3-5i)(6+2i) using the FOIL Method.
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Apply the distributive property.
3(6+2i)-5i(6+2i)
Apply the distributive property.
3⋅6+3(2i)-5i(6+2i)
Apply the distributive property.
3⋅6+3(2i)-5i⋅6-5i(2i)
3⋅6+3(2i)-5i⋅6-5i(2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 3 by 6.
18+3(2i)-5i⋅6-5i(2i)
Multiply 2 by 3.
18+6i-5i⋅6-5i(2i)
Multiply 6 by -5.
18+6i-30i-5i(2i)
Multiply -5i(2i).
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Multiply 2 by -5.
18+6i-30i-10ii
Raise i to the power of 1.
18+6i-30i-10(i1i)
Raise i to the power of 1.
18+6i-30i-10(i1i1)
Use the power rule aman=am+n to combine exponents.
18+6i-30i-10i1+1
Add 1 and 1.
18+6i-30i-10i2
18+6i-30i-10i2
Rewrite i2 as -1.
18+6i-30i-10⋅-1
Multiply -10 by -1.
18+6i-30i+10
18+6i-30i+10
Add 18 and 10.
28+6i-30i
Subtract 30i from 6i.
28-24i
28-24i
Multiply (3-5i)*(6+2i)

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