Multiply (-11-8i)(-2+8i)

Math
(-11-8i)(-2+8i)
Expand (-11-8i)(-2+8i) using the FOIL Method.
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Apply the distributive property.
-11(-2+8i)-8i(-2+8i)
Apply the distributive property.
-11⋅-2-11(8i)-8i(-2+8i)
Apply the distributive property.
-11⋅-2-11(8i)-8i⋅-2-8i(8i)
-11⋅-2-11(8i)-8i⋅-2-8i(8i)
Simplify and combine like terms.
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Simplify each term.
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Multiply -11 by -2.
22-11(8i)-8i⋅-2-8i(8i)
Multiply 8 by -11.
22-88i-8i⋅-2-8i(8i)
Multiply -2 by -8.
22-88i+16i-8i(8i)
Multiply -8i(8i).
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Multiply 8 by -8.
22-88i+16i-64ii
Raise i to the power of 1.
22-88i+16i-64(i1i)
Raise i to the power of 1.
22-88i+16i-64(i1i1)
Use the power rule aman=am+n to combine exponents.
22-88i+16i-64i1+1
Add 1 and 1.
22-88i+16i-64i2
22-88i+16i-64i2
Rewrite i2 as -1.
22-88i+16i-64⋅-1
Multiply -64 by -1.
22-88i+16i+64
22-88i+16i+64
Add 22 and 64.
86-88i+16i
Add -88i and 16i.
86-72i
86-72i
Multiply (-11-8i)(-2+8i)

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