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Expanding Brackets•
Expanding Triple Brackets

Expanding Triple Brackets (B) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Expanding double brackets. Volume of a triangular prism and cube.
Learning Objective: Manipulate algebraic expressions by expanding brackets

Expanding Triple Brackets (B) WORKSHEET DESCRIPTION

This worksheet introduces students to expanding triple brackets to give expressions in the form ax³ +bx² +cx+d where a is greater than 1.

Section A consists of 6 questions that are carefully selected so that one bracket changes each time.

Section B sees students considering expressions such as (x+ 3)²(x– 3).

Expressions in section C have coefficients of x​3 greater than 1, is scaffolded using ‘show that’ questions and extend to include expressions with two variables.

Students will use their knowledge of expanding triple brackets as they consider the volume of a triangular prism and a cube in section D.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Expanding Triple Brackets Worksheet perfect for students in KS4

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Frequently Asked Questions

Students should be confident with expanding double brackets before moving on to triple brackets, as this forms the foundation for the more complex algebraic manipulation required here. They'll also benefit from understanding how to calculate the volume of triangular prisms and cubes, since these geometric applications appear in the final section and help demonstrate the practical relevance of expanding triple brackets.