Expanding Brackets: 1) FOIL (first pair, outer pair, inner pair, last pair) 2) (x+3)(x+4)=x^2+4x+3x+12 3) exemplifying why to do FOIL method by subbing in a value for x (e.g. x=3) 4)(3+3)(3+4)=6x7=42 5)using FOIL: 9+12+9+12=42 (this shows why you must multiply out the brackets using the FOIL method)