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 an expression?

• Multiply all terms together

• Find the highest common factor

• Add all terms

• Divide by the smallest number

In the expression 8X^2 + 12X, what is the highest common factor?

• 2X

• 8X

• 12X

• 4X

When factorizing 9AB + 15B^2, what is the common factor of the coefficients?

• 5

• 3

• 9

• 15

In the expression 9AB + 15B^2, which variable is common in both terms?

• AB

• None

• B

• A

What is the highest common factor of the numbers 15, 10, and 20?

• 15

• 5

• 10

• 20

In the expression 15XY, 10X, and 20X^2Y, which variable is common in all terms?

• Y

• None

• X

• XY

What is the factorized form of the expression 15XY + 10X + 20X^2Y?

• 5(3Y + 2X + 4XY)

• 5X(3Y + 2 + 4XY)

• 5(3XY + 2X + 4Y)

• 5X(3XY + 2 + 4Y)