**Factorising** is an essential skill in algebra, and it **involves breaking down an algebraic expression into a product of simpler expressions.** In other words, we are looking for common factors that can be pulled out of the terms in an expression.

**For example,**consider the following expression:

**6x + 12**

Both 6x and 12 are multiples of 6, so **we can factor out 6:**

6(x + 2)

By using the factorised form of the expression, we can **check our answer** by distributing the 6 back in:

6(x + 2) = 6x + 1

**Another example is:**3a

^{2}- 6a

**Both terms have a factor of 3** and a factor of a so that we can factor out 3a:

3a(a - 2)

Again, we can **check our answer** by distributing the 3a back in:

3a(a - 2) = 3a^{2} - 6a

Now let us consider the **special case of factorising quadratic expressions.** These expressions have a squared term (usually x^{2}), an x-term, and a constant term. For example:

x^{2} + 5x + 6

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