Simplify (4-3i)(-7-2i)

Math
(4-3i)(-7-2i)
Expand (4-3i)(-7-2i) using the FOIL Method.
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Apply the distributive property.
4(-7-2i)-3i(-7-2i)
Apply the distributive property.
4⋅-7+4(-2i)-3i(-7-2i)
Apply the distributive property.
4⋅-7+4(-2i)-3i⋅-7-3i(-2i)
4⋅-7+4(-2i)-3i⋅-7-3i(-2i)
Simplify and combine like terms.
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Simplify each term.
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Multiply 4 by -7.
-28+4(-2i)-3i⋅-7-3i(-2i)
Multiply -2 by 4.
-28-8i-3i⋅-7-3i(-2i)
Multiply -7 by -3.
-28-8i+21i-3i(-2i)
Multiply -3i(-2i).
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Multiply -2 by -3.
-28-8i+21i+6ii
Raise i to the power of 1.
-28-8i+21i+6(i1i)
Raise i to the power of 1.
-28-8i+21i+6(i1i1)
Use the power rule aman=am+n to combine exponents.
-28-8i+21i+6i1+1
Add 1 and 1.
-28-8i+21i+6i2
-28-8i+21i+6i2
Rewrite i2 as -1.
-28-8i+21i+6⋅-1
Multiply 6 by -1.
-28-8i+21i-6
-28-8i+21i-6
Subtract 6 from -28.
-34-8i+21i
Add -8i and 21i.
-34+13i
-34+13i
Simplify (4-3i)(-7-2i)

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