Learn: Factorising Single Brackets

Welcome!I've prepared this lesson to help you strengthen your understanding of factorising single brackets. We'll explore the concept step-by-step and practise together!

What is Factorising?Factorising means rewriting an expression by taking out a common factor. This helps simplify expressions and solve equations more easily. For example, instead of writing 2x + 6, you can factorise it as 2(x + 3).

Steps to Factorise Single BracketsTo factorise, follow these steps:Find the highest common factor (HCF) of all terms in the expression.Divide each term by the HCF.Write the expression as the product of the HCF and the simplified terms in brackets.

Example: Factorising 3x + 6Step 1: Find the HCF of 3x and 6. The HCF is 3.Step 2: Divide each term by the HCF:3x ÷ 3 = x6 ÷ 3 = 2Step 3: Write the factorised expression: 3(x + 2).

Common Mistakes1. Forgetting to find the HCF.2. Incorrectly dividing the terms by the HCF.3. Not including the HCF outside the bracket.Always double-check your work by expanding the brackets to see if you get the original expression.

Review Time!Great work! You've learned how to factorise single brackets by finding the HCF, dividing each term, and writing the factorised form. Let's test your understanding with a few more questions.

Great Job!You've now mastered factorising single brackets. Keep practising to strengthen your skills further, and don't forget to check your answers by expanding the brackets!