Depending on the characteristics of the expression, you will have to decide on the most appropriate method to carry out factorisation.
The 4 methods are:
- Factorisation by Identifying Common Factor
- Factorisation by Grouping
- Factorisation using Special Products
- Factorisation using Cross Method
Factorisation: Summary (4 methods)
Method 1: Factorisation by Identifying Common Factor(s)
There are altogether 6 examples (similar). Look out for the 'change' of sign.
This playlist consists of 6 examples:
E.g. 1: a (c + d) + b (- c - d)
E.g. 2: m (a + 2d) - n (- a - 2d)
E.g. 3: a (x - y) + b (- x + y)
E.g. 4: 2p (x - 3y) + q (3y - x)
E.g. 5: 3a (2b - 5c) - 5d (- 2b + 5c)
E.g. 6: 3x (1 - 4y) - 4u (4y - 1)
More Examples for Method 1 & Method 2
- Method 1: Factorisation by Identifying Common Factor(s) (Examples 1, 2 & 3)
- Method 2: Factorisation by Special Products (Examples 4, 5 & 6)
Method 2: Factorisation by Grouping
Notice that this method involves identifying common factors twice - at two different stages.
Method 3: Factorisation by Special Products
Method 4: Factorisation by Cross Method