The Basics of Factorisation
The Basics of Factorisation
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The Basics of Factorisation
What do you already know about factorising in algebra?
Learning Objective
At the end of the lesson you will be able to identify factors in algebraic expressions, understand why we factorise, and apply basic methods to factorise simple algebraic expressions.
What Is Factorisation?
Factorisation means writing an algebraic expression as a product of simpler expressions called factors. These can be numbers, variables, or other expressions.
Examples of Factorised Forms
Expressions like 3xy, 2x(y+2), and 5(y+1)(x+2) are in factorised form. We can easily see their factors.
Non-Factorised vs. Factorised
Examples: 2x+4, 3x+3y, x^2+5x. These do not show clear factors.
Examples: 2(x+2), 3(x+y), x(x+5). Here, we rewrite expressions so their factors are clear.
Factorised
Not Factorised
Why Factorise?
Factoring makes expressions easier to work with. It helps solve equations, simplify expressions, and find solutions quickly.
Common Factorisation Methods
We use several methods such as taking out common factors or grouping terms. Each method helps break down complex expressions.
Reflection
Think: Why is being able to see factors in an expression important when solving equations in maths?
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.
