1. Expand and Simplify Expand two brackets by: multiplying them out and then….. collecting like terms, by adding or subtracting. Great Marlow School Mathematics Department

2. Expand and Simplify (x + 3)(x + 4) (x + 3)(x + 4) x²x² x² + 4x x² + 4x + 3x x² + 4x + 3x + 12 Simplify: x² + 7x + 12 Great Marlow School Mathematics Department

3. Expand and simplify (x + 5)(x – 2) (x + 5)(x – 2) x²x² x² - 2x x² - 2x + 5x x² - 2x + 5x - 10 Simplify: x² + 3x – 10 Great Marlow School Mathematics Department

4. Expand and simplify (x – 6)(x + 3) (x – 6)(x + 3) x²x² x² + 3x x² + 3x – 6x x² + 3x – 6x – 18 Simplify: x² - 3x - 18 Great Marlow School Mathematics Department

5. Expand and simplify (x – 5)(x – 3) (x – 5)(x – 3) x² x² - 3x x² - 3x – 5x x² - 3x – 5x + 15 Simplify: x² - 8x + 15 Great Marlow School Mathematics Department

6. Expand and Simplify 1.(x + 7)(x + 2) 2.(x – 6)(x + 4) 3.(x + 5)(x – 8) 4.(x – 2)(x – 6) 5.(x + 9)(x – 5) 6.(y – 5)(y – 8) 7.(c – 1)(c + 7) = x²+2x+7x+14 = x²+9x+14 = x²+4x-6x-24 = x²-2x-24 = x²-8x+5x-40 = x²+3x-40 = x²-6x-2x+12 = x²-8x+12 = x²-5x+9x-45 = x²+4x-45 = y²-8y-5y+40 = y²-13y+40 =c²+7c-1c-7 = c²+6c-7 Well done Great Marlow School Mathematics Department

7. Try this……….. (2x + 4)(x + 5) = 2x² + 10x + 4x + 20 = 2x² + 14x + 20 2x² 2x² + 10x 2x² + 10x +4x 2x² + 10 + 4x + 20 2x² + 14x + 20 Great Marlow School Mathematics Department

8. Try these …….. 1.(2x + 4)(x + 3) 2.(2x – 5)(x + 6) 3.(3x + 2)(x – 3) 4.(2x – 2)(x – 5) 5.(2x + 4)(2x + 6) 6.(2x – 3)(3x + 4) 7.(3x – 4)(2x – 5) = 2x²+6x+4x+12 = 2x²+10x+12 = 2x²+12x-5x-30 = 2x²+7x-30 = 3x²-9x+2x-6 = 3x²-7x-6 = 2x² -10x-2x+10 =2x²-12x+10 = 4x²+12x+8x+24=4x²+20x+24 = 6x²+8x-9x-12 = 6x² -x – 12 = 6x²-15x-8x+20 = 6x²-23x+20 Brilliant Year 10 Great Marlow School Mathematics Department