Simplify (-4-i)(8-5i)

Math
(-4-i)(8-5i)
Expand (-4-i)(8-5i) using the FOIL Method.
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Apply the distributive property.
-4(8-5i)-i(8-5i)
Apply the distributive property.
-4⋅8-4(-5i)-i(8-5i)
Apply the distributive property.
-4⋅8-4(-5i)-i⋅8-i(-5i)
-4⋅8-4(-5i)-i⋅8-i(-5i)
Simplify and combine like terms.
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Simplify each term.
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Multiply -4 by 8.
-32-4(-5i)-i⋅8-i(-5i)
Multiply -5 by -4.
-32+20i-i⋅8-i(-5i)
Multiply 8 by -1.
-32+20i-8i-i(-5i)
Multiply -i(-5i).
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Multiply -5 by -1.
-32+20i-8i+5ii
Raise i to the power of 1.
-32+20i-8i+5(i1i)
Raise i to the power of 1.
-32+20i-8i+5(i1i1)
Use the power rule aman=am+n to combine exponents.
-32+20i-8i+5i1+1
Add 1 and 1.
-32+20i-8i+5i2
-32+20i-8i+5i2
Rewrite i2 as -1.
-32+20i-8i+5⋅-1
Multiply 5 by -1.
-32+20i-8i-5
-32+20i-8i-5
Subtract 5 from -32.
-37+20i-8i
Subtract 8i from 20i.
-37+12i
-37+12i
Simplify (-4-i)(8-5i)

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