Simplify (6-i)(4-3i)

Math
(6-i)(4-3i)
Expand (6-i)(4-3i) using the FOIL Method.
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Apply the distributive property.
6(4-3i)-i(4-3i)
Apply the distributive property.
6⋅4+6(-3i)-i(4-3i)
Apply the distributive property.
6⋅4+6(-3i)-i⋅4-i(-3i)
6⋅4+6(-3i)-i⋅4-i(-3i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 6 by 4.
24+6(-3i)-i⋅4-i(-3i)
Multiply -3 by 6.
24-18i-i⋅4-i(-3i)
Multiply 4 by -1.
24-18i-4i-i(-3i)
Multiply -i(-3i).
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Multiply -3 by -1.
24-18i-4i+3ii
Raise i to the power of 1.
24-18i-4i+3(i1i)
Raise i to the power of 1.
24-18i-4i+3(i1i1)
Use the power rule aman=am+n to combine exponents.
24-18i-4i+3i1+1
Add 1 and 1.
24-18i-4i+3i2
24-18i-4i+3i2
Rewrite i2 as -1.
24-18i-4i+3⋅-1
Multiply 3 by -1.
24-18i-4i-3
24-18i-4i-3
Subtract 3 from 24.
21-18i-4i
Subtract 4i from -18i.
21-22i
21-22i
Simplify (6-i)(4-3i)

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