In regular algebra, addition and multiplication are commutative : $$A + B = B + A$$ $$A \times B = B \times A$$ they are also associative : $$A + (B + C) = (A + B) + C$$ $$A \times (B \times C) = (A\times B) \times C$$ And multiplication is said to be distributive : $$A \times (B + C) = (A \times B) + (A \times C)$$.
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Sponsored Topics. Lancaster is a city in Garrard County, Kentucky, in the United States. As of the 2000 census, the city population was 3,734. It is the county seat of Garrard County. Located south of Lexington, it is the site of the Kennedy House, said to have been used in Uncle Tom's Cabin.