m(a + b) = ma + mb distributive property
(a + b)(c + d) = a(c + d) + b(c + d) The use distributive prop. twice.
(c + d)(x + y + z) = c(x + y + z) + d(x + y + z) Still use dist. prop.
etc.
These work for subtraction as well.
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Multiply vertically the extreme left digits is one pattern involved in multiplying algebraic expressions. Multiplying crosswise is another common pattern that is used.
You just write down the range of the pattern.
Things in an Algebraic expression that occur every time and do not change. Parts that are not in a general pattern are usually represented by variables.
There is no pattern.
The expression left and right means everywhere without any plan or pattern. Another definition of this expression means on both sides, on all sides and everywhere.