**Factorising Expressions**

Depending on the question, sometimes we want to expand brackets, and sometimes we want to do precisely the opposite and put our term into brackets. This is called **factorising** and means that we are rewriting our expression as a product.

To do it we need to get skilful at spotting **common factors** in terms. These are numbers (or letters) that every term can be divided by.

Can you spot the common factor in 6x + 12 – 3y ?

So can you factorise it?

How about in 10x – 5x^{2} +30xy?

Sometimes we can do this process twice.

Consider factorising this expression: 10 + 2x – 5y – xy.

Let’s try some together:

Now try this exercise on your own (from exercises 2E and 2F on pages 25 and 26 of the textbook):

Below are the answers to the questions in the above exercise: