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.