Triple Brackets - Extension questions

This collection of five worksheets ( complete with answers and working out ) covers the basics of multiplying out triple brackets then moves on to using the results in different situations. Students are eased into the topic with a little revision of the multiplying out that they will already have mastered then there is plenty of practise with progressively harder examples of multiplying out triple brackets including those with repeated factors.

The extension sheets include proofs and finding the difference between two expressions ( a challenge in itself to remember to do x³ +3 x² + 3x + 1 )- ( x³ - 3x² + x - 1 ) carefully ! ). Geometric problems involving cube diagrams to illustrate the expansion of ( a + b )³ will provide useful extension work for the brightest GCSE students. Evaluate 1.1³ to show how powers of numbers can be found using expansions.

The sheets could be used independently by your brightest y9s and above as they include instructions.

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