**1. What is the most common mistake people make when expanding brackets?**

Most teachers will tell you that students forget to change all of the signs inside the bracket when expanding by a negative number. e.g. -3(x − 2) = -3x

+6 (common mistake is to put -3x − 6)

**2. Which is the best method for expanding two brackets (quadratics)?**

Whichever one works for you! Obviously the quickest way, providing you are accurate, is to do it in your head. Otherwise methods such as the FOIL method are all satisfactory.

**3. Why is (x + 2) ^{2 }not equal to x^{2}**

**+ 4 ?**

Because the power of two is telling you to multipy the bracket by itself

i.e. (x + 2)

^{2 }= (x + 2)(x + 2) = x^{2}+ 4x + 4