Multiply (28-4i)(7+i)

Math
(28-4i)(7+i)
Expand (28-4i)(7+i) using the FOIL Method.
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Apply the distributive property.
28(7+i)-4i(7+i)
Apply the distributive property.
28⋅7+28i-4i(7+i)
Apply the distributive property.
28⋅7+28i-4i⋅7-4ii
28⋅7+28i-4i⋅7-4ii
Simplify and combine like terms.
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Simplify each term.
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Multiply 28 by 7.
196+28i-4i⋅7-4ii
Multiply 7 by -4.
196+28i-28i-4ii
Multiply -4ii.
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Raise i to the power of 1.
196+28i-28i-4(i1i)
Raise i to the power of 1.
196+28i-28i-4(i1i1)
Use the power rule aman=am+n to combine exponents.
196+28i-28i-4i1+1
Add 1 and 1.
196+28i-28i-4i2
196+28i-28i-4i2
Rewrite i2 as -1.
196+28i-28i-4⋅-1
Multiply -4 by -1.
196+28i-28i+4
196+28i-28i+4
Add 196 and 4.
200+28i-28i
Subtract 28i from 28i.
200+0
Add 200 and 0.
200
200
Multiply (28-4i)(7+i)

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