### Resource: Unit 4 Algebra (1)

**Link to e-note**

**Making Connections between Algebra and Arithmetic**

1. Addition and Subtraction

2. Multiplication

3. Division

4. Simple Algebraic Manipulation

### Resource: Unit 4 Algebra (2)

Simplifying Expressions

### Resource: Unit 4 Algebra (3)

In S1, you will learn 4 methods to factorise algebraic expressions.

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: 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:

To factorise...

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 2: Factorisation by Grouping

Notice that this method involves identifying common factors

Method 3: Factorisation by Special Products

Method 4: Factorisation by Cross Method

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:

To factorise...

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

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