Dictionary
search :       browse :
 # A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

 Description
FOIL Pattern:  A method based on the Distributive Property that is often used to multiply two binomials.
 The Distributive Property can be used to multiply two binomials. For example, (x + y)(b + c) means (x + y)b + (x + y)c because of the Distributive Property (look at the definition of distributive property and replace a with (x + y).) Then the Distributive Property can be used two more times to get xb + yb + xc + yc. FOIL, described in detail below, is just a way to remember the use of the Distributive Property in this situation. After you read about FOIL, try the procedure to multiply (x + y) and (b + c). Do you get the same result as given in this paragraph? F means you multiply the first two terms together.O means you multiply the outer terms together.I means you multiply the inner terms together.L means you multiply the last two terms together. In (a + b)(c + d), a and c are the first terms since they appear first in each binomial. a and d are the outer terms since they are on the left and right sides, respectively. b and c are the inner terms since they appear in between the other two terms. b and d are the last terms since they appear second in each binomial. Examples of FOIL (3 + x)(2 - 3x) = 3*2 + 3*(- 3x) + x*2 + x*(- 3x) = 6 - 9x + 2x -. Combining like terms, we obtain: 6 - 7x - . (x - 2)(1 - 5y) = x*1 + x*(- 5y) + (- 2)*1 + (- 2)*(- 5y) = x - 5xy - 2 + 10y. There are no like terms to combine.