1. Find the area of these rectangles x cm 2x + 1 cm x + 2 cm 8 cm 5cm 2cm 21 cm 3 cm 6 cm x cm 10 cm 2 2x 2 + x cm 2 or x(2x + 1) cm 2 8x + 16 cm 2 or 8(x + 2) cm 2 6x cm 2 63 cm 2

2. L.O. – To be able to expand brackets of the form (2x + 3)(3x – 5) L.O. – To be able to expand brackets of the form (2x + 3)(3x – 5) To be able to expand brackets of the form (3x + y + 2)(2x + 9) To be able to expand brackets of the form (3x + y + 2)(2x + 9)

3. How do we expand (x+1)(x+3)? x + 3 x + 1 x x 1 111 x2x2 111 x xxx Area = x 2 + 4x + 3

4. The simpler way to expand (x+1)(x+3) (x + 1)(x + 3) = x2x2x2x2 + 3x + x + 3 = x 2 + 4x + 3 = x 2 + 4x + 3

5. And it even works with negative numbers! (x + 4)(x - 2) = x2x2x2x2 - 2x + 4x - 8 = x 2 + 2x -8 = x 2 + 2x -8

6. Try these examples: Don’t be afraid to draw on the arrows if it helps (x + 2)(x + 5) = x 2 + 7x + 10 (x + 3)(x - 8) = (x – 4)(x + 5) = (x + 2) 2 = (2x + 1)(x + 4) = x 2 – 5x – 24 x 2 + x - 20 x 2 + 4x + 4 x 2 + 4x + 4 (x+2)(x+2) =

7. How to solve (2x + 1)(x + 4) (2x + 1)(x + 4) = 2x 2 + 8x + x + 4 = 2x 2 + 9x + 4 = 2x 2 + 9x + 4

8. Now try these examples (2x + 4)(3x + 1) = 6x 2 + 14x + 4 (5x + 2)(x + 3) = (4x + 5)(3x - 2) = (3x - 2)(8x – 5) = (2x + y + 1)(3x + 2) = 5x 2 + 17x + 6 12x 2 + 7x - 10 24x 2 - 31x + 10 6x 2 + 3xy + 7x +2y + 2

9. Now pick one of the following to solve. Your partner will mark it in a couple of minutes (4x + 3)(2x + 5) = (3x -7)(5x + 2) = (6x + 4)(2x – 3) = 8x 2 + 26x + 15 15x 2 -29x - 14 12x 2 - 10x -12