Multiply (2-3i)*(1-i)

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

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