Practice Problems and Variations

This page provides additional practice problems for expanding triple brackets, reinforcing the skills learned in the previous section. It includes several examples with different complexities.

1. (x+5)(x-3)(x-6) = x³-4x²-27x+90
2. (x-4)³ = x³-12x²+48x-64
3. (x-9)(x-2)(x-4) = x³-15x²+62x-72

Example: (x-4)³ is equivalent to (x-4)(x-4)(x-4), which expands to x³-12x²+48x-64.

The page also introduces a worded question involving the area of a rectangle:

Example: Find the area of a rectangle with dimensions (x+3) and (x+5). Solution: Area = (x+3)(x+5) = x²+8x+15

Additionally, it touches on the area of a triangle formula:

Vocabulary: Area of a triangle = (base × height) ÷ 2

Highlight: Practice with various types of triple brackets, including cubes like (x-4)³, is crucial for mastering this topic in GCSE maths.

These examples and practice problems provide a comprehensive approach to expanding triple brackets, preparing students for GCSE questions and worksheets on this topic.