
The FOIL method is an algorithm for expanding the product of two binomials. FOIL is an acronym that stands for First, Outer, Inner, Last. 
Product  First  Outer  Inner  Last  Result 

(x+1)(x1)  x·x = x^{2}  x·(1) = x  1·x = x  1·(1) = 1  x^{2} + (11)x + (1) = x^{2}  1 
(x3)(x2)  x·x = x^{2}  x·(2) = 2x  (3)·x = 3x  (3)·(2) = 6  x^{2} + (23)x + 6 = x^{2}  5x + 6 
(2x+1)(3x+2)  2x·3x = 6x^{2}  2x·2 = 4x  1·3x = 3x  1·2 = 2  6x^{2} + (4+3)x + 2 = 6x^{2} + 7x + 2 
Table 1 
#  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 
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