1. Multiplying Binomials Algebra Tiles Box Method FOIL Method

2. Algebra Tiles x 1 x 2 -x -x 2 4 ( x + 3 ) 4x + 12 4x + 12 2x ( x - 1 ) 2x2 – – 2x

3. Algebra Tiles (x-3)(x+5) x 1 x 2 -x -x 2 x + 5 x -3 x 2 + 2x -15

4. Algebra Tiles (3x+1)(2x-5) 3x +1 2x-5 6 x 2 – 1 3 x – 5

5. Algebra Tiles Practice 1. 3(x - 2) 3. (x + 2)(x – 1) 2. 4x(x + 3) 4. (2x – 3)(x – 2) 3x - 6 x 2 + 1x - 2 4x 2 + 12x2x 2 – 7x +6

6. Algebra Tiles x -3 x+5 x x -3 (x - 3)(x + 5) x 2 +2x -15 Box Method x2x2 +5x -3x-3x -15

7. Box Method Practice 1. (x + 2)(x + 3)3. (x – 4)(x – 5) 2. (3x – 1)(x + 4)4. (2x + 1)(3x – 5) x 2 + 5x + 6x 2 – 9x + 20 3x 2 + 11x – 46x 2 – 7x – 5

8. FOIL Method O utside I nside L ast F irst (2x + 5)(3x – 4) first outside inside last First : Outside : Inside : Last : 2x  3x 2x  -4 +5  3x +5  -4 = 6x 2 = -8x = 15x = -20 6x 2 + 7x - 20 6x 2 + 7x - 20 first

9. FOIL Method Practice 1. (x + 3)(x + 8)3. (x – 2)(x – 9) 2. (3x – 4)(x + 7)4. (5x + 2)(3x – 4) x 2 + 11x + 24 x 2 – 11x + 18 3x 2 +17x - 28 15x 2 – 14x - 8