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.
- (x+5)(x-3)(x-6) = x³-4x²-27x+90
- (x-4)³ = x³-12x²+48x-64
- (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.
