Multiply (-1-4i)*(-5-i)

Math
(-1-4i)⋅(-5-i)
Expand (-1-4i)(-5-i) using the FOIL Method.
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Apply the distributive property.
-1(-5-i)-4i(-5-i)
Apply the distributive property.
-1⋅-5-1(-i)-4i(-5-i)
Apply the distributive property.
-1⋅-5-1(-i)-4i⋅-5-4i(-i)
-1⋅-5-1(-i)-4i⋅-5-4i(-i)
Simplify and combine like terms.
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Simplify each term.
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Multiply -1 by -5.
5-1(-i)-4i⋅-5-4i(-i)
Multiply -1 by -1.
5+1i-4i⋅-5-4i(-i)
Multiply i by 1.
5+i-4i⋅-5-4i(-i)
Multiply -5 by -4.
5+i+20i-4i(-i)
Multiply -4i(-i).
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Multiply -1 by -4.
5+i+20i+4ii
Raise i to the power of 1.
5+i+20i+4(i1i)
Raise i to the power of 1.
5+i+20i+4(i1i1)
Use the power rule aman=am+n to combine exponents.
5+i+20i+4i1+1
Add 1 and 1.
5+i+20i+4i2
5+i+20i+4i2
Rewrite i2 as -1.
5+i+20i+4⋅-1
Multiply 4 by -1.
5+i+20i-4
5+i+20i-4
Subtract 4 from 5.
1+i+20i
Add i and 20i.
1+21i
1+21i
Multiply (-1-4i)*(-5-i)

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