Presentation on theme: "Because this product is composed of the"— Presentation transcript:
1Because this product is composed of the We note that the product of the two binomials has four terms – each of these is a partial product. We multiply each term of the first binomial by each term of the second binomial to get the four partial products.F O I L( a b )( c d ) = ac ad bc bdProduct of the FIRST terms of the binomialsProduct of the OUTSIDE terms of the binomialsProduct of the INSIDE terms of the binomialsProduct of the LAST terms of the binomialsBecause this product is composed of theFirst, Outside, Inside, and Last terms,this pattern is often referred to as FOIL method of multiplying two binomials.
2Recall the distributive property of multiplication over addition . . . symbolically:a ( b + c) = ab + ac
3using your mental math skills . . . An example: 6 x 13using your mental math skills . . .symbolically:6 (10 + 3) = 6(10) + (6)(3)
4What about 12 x 23? Mental math skills? (10+2)(20+3) = 10× ×3 + 2×20 + 2×32003040+ 6276
5And now for multiplying binomials (a+b)(c+d) = a(c+d) + b(c+d)= ac + ad + bc + bd