GCSE Maths - How to Factorise an Expression into a Bracket #38

The video tutorial explains the process of factorising algebraic expressions by finding the highest common factor of terms. It begins with an introduction to factorising, followed by a detailed example of factorising 8X^2 + 12X. The tutorial then provides two more examples: factorising 9AB + 15B^2 and a three-term expression involving 15, 10, and 20. Each example is broken down step-by-step, demonstrating how to identify common factors and rewrite expressions in bracketed form. The video emphasizes understanding the process and checking the results by expanding the brackets.

What is the first step in factorizing the expression 8X^2 + 12X?

How do you determine the highest common factor of the terms in an expression?

What is the highest common factor of the numbers 8 and 12?

What common factor do the terms 8X^2 and 12X share?

How do you find the factors needed to complete the factorization of 8X^2 + 12X?

What is the final factored form of the expression 8X^2 + 12X?

In the example of factorizing 9AB + 15B^2, what is the common factor found?