Factorisation Basics with Algebra
Factorisation Basics with Algebra
Items in this lesson
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!
