1. Expanding Brackets Multiply the contents of the bracket by what is immediately outside it E.g. 3(a+4) 3a3a + 12 3 x a + 3 x 4

2. Now let’s try negatives too E.g. -3(a+4) -3 x a -3a-3a - x + - 3 x 4 12 Remember negative x positive = negative And again!

3. What, both negative! E.g. -3(-a – 4) Remember negative x negative = positive -3 x -a 3a3a -3 x -4 12 + Result And again

4. More than one variable E.g. 3a(2d – 5a) 3 x 2 6 a x d adad 3 x -5 Remember positive x negative = negative -15 a x a a2a2 Put it all together: 6ad-15a 2 Brill !

5. Expanding Quadratics E.g (a + 5)(a + 2) Draw out a grid x a5a5 a 2 a2a2 2a2a 5a5a 10 Simplify a 2 + 7a +10 Success!