Factorisation Basics with Algebra
Factorisation Basics with Algebra
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Factorisation Basics with Algebra
What do you already know about factorising algebraic expressions?
Learning Objective
At the end of the lesson you will be able to: factorise simple algebraic expressions by taking out common factors and by recognising patterns.
What is Factorisation?
Factorisation is the process of writing an expression as a product of its factors. It is the reverse of expanding brackets.
Common Factors in Algebra
First, look for terms that have something in common. For example, in 6x + 4, both terms can be divided by 2.
Step-by-Step: Taking Out Common Factors
Step 1
Find the highest number that divides every term.
Write the common factor outside the bracket and put the remaining expression inside.
Step 2
Example: 8x + 12
Both 8x and 12 can be divided by 4. So, 8x + 12 = 4(x + 3).
Factorising with Letters
Algebraic terms may have a letter in common. E.g., 3x + 6x = 3x(1 + 2).
Try This Example
Factorise 5y + 20. Step 1: Find the common factor. Step 2: Write as 5(y + 4).
Check Your Understanding
What is the common factor in 2m + 6n?
Answer: 2. So, 2m + 6n = 2(m + 3n).
Your Turn: Practice Questions
Try to factorise these:
1. 7a + 14
2. 9x + 6y
3. 4p - 8q
4. 15z + 5
5. 12b + 18
Answers:
1. 7(a + 2)
2. 3(3x + 2y)
3. 4(p - 2q)
4. 5(3z + 1)
6(2b + 3)
Well Done!
You have learned the basics of factorising algebraic expressions. Practise more to get even better!
