Factorising Simple Algebraic Expressions
Name: _______________________________
Date: _______________________________
Instructions: Factorise each expression by taking out the highest common factor (HCF).
Example: 6x + 9 = 3(2x + 3)
Part A: Basic Factorising
1.
4x + 8
= ________________________________
2.
6y + 12
= ________________________________
3.
15a + 20
= ________________________________
4.
9m - 18
= ________________________________
5.
14p - 21
= ________________________________
6.
10n + 25
= ________________________________
Part B: Factorising with Variables
7.
3x + 3y
= ________________________________
8.
5a - 5b
= ________________________________
9.
8m + 12n
= ________________________________
10.
6x - 9y
= ________________________________
11.
12p + 18q
= ________________________________
Part C: Factorising with Powers
12.
4x² + 8x
= ________________________________
13.
6y² - 9y
= ________________________________
14.
10a² + 15a
= ________________________________
15.
12m² - 18m
= ________________________________
Part D: Challenge Questions
16.
15x² + 10x + 5
= ________________________________
17.
12a²b + 18ab
= ________________________________
18.
20xy - 15x
= ________________________________