1. Factorisation 10r – 25f = 28t + 14s = 50u – 75v = 6d – 12f + 9e =
Factorisation is the reverse process of expanding brackets.
Find the highest number that divides into each number term.
10r – 25f =
28t + 14s =
50u – 75v =
6d – 12f + 9e =
5 (2r – 5f)
14 ( 2t + s)
25 ( 2u – 3v)
3 (2d – 4f + 3e)

2. Factorise the following expressions:
1. 6f + af =
2. ab – 8b =
3. 2dp + 14pr =
4. 10gh – 15hk =
24st + 8sy =
5ab – 2bc =

3. This means that letter terms can also be factors and used to factorise an expression.

5. Factorise the following expressions: 1. f2 + 6f = 2. b2 – 8b =
Common Factors
Factorise the following expressions:
1. f2 + 6f =
2. b2 – 8b =
3. 4p2 + 14p =
4. 10w2 – 15w =
24x2 + 8x =
5ab – 2bc =
f ( f + 6)
b (b – 8)
2p (2p + 7)
5w (2w – 3)
8x (3x + 1)
b ( 5a – 2c)

6. FACTORISATION OF A TRINOMIAL