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Expanding Triple Brackets: Easy Steps and Fun Worksheets

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Expanding Triple Brackets GCSE simple notes

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Expanding Triple Brackets: Easy Steps and Fun Worksheets

Expanding triple brackets is a crucial skill in GCSE maths. This guide provides a step-by-step approach to multiplying out triple brackets, with examples and practice questions to reinforce understanding.

  • The process involves multiplying each term in the first bracket by the entire second and third brackets, then combining like terms.
  • Key steps include distributing terms, using the FOIL method for double brackets, and carefully tracking signs.
  • Practice with various types of triple brackets, including those with negative terms and constants, is essential for mastery.
...

12/02/2023

183

Multiplying Out Triple Brackets (x+2)(x+3)(x-4) Ÿ x +3 xx²+3x +2/+2x+6 (3x² + 5x+6) (x=4) +5x +6 +5x² +6x -4-400²-20-24 Xx² x3 0c3+x²-14x-24

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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.

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12 Feb 2023

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Expanding Triple Brackets: Easy Steps and Fun Worksheets

user profile picture

Shaz

@shaz2007

Expanding triple brackets is a crucial skill in GCSE maths. This guide provides a step-by-step approach to multiplying out triple brackets, with examples and practice questions to reinforce understanding.

  • The process involves multiplying each term in the first bracket... Show more
Multiplying Out Triple Brackets (x+2)(x+3)(x-4) Ÿ x +3 xx²+3x +2/+2x+6 (3x² + 5x+6) (x=4) +5x +6 +5x² +6x -4-400²-20-24 Xx² x3 0c3+x²-14x-24

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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.

Multiplying Out Triple Brackets (x+2)(x+3)(x-4) Ÿ x +3 xx²+3x +2/+2x+6 (3x² + 5x+6) (x=4) +5x +6 +5x² +6x -4-400²-20-24 Xx² x3 0c3+x²-14x-24

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Multiplying Out Triple Brackets

This page introduces the concept of expanding triple brackets, a fundamental skill in GCSE maths. The main example provided is (x+2)(x+3)(x-4), which is solved step-by-step to demonstrate the process.

Definition: Expanding triple brackets involves multiplying three algebraic expressions enclosed in parentheses to obtain a single polynomial expression.

The expansion process is broken down as follows:

  1. First, multiply (x+2) by (x+3), resulting in x²+3x+2x+6.
  2. Simplify this to x²+5x+6.
  3. Then, multiply this result by (x-4).
  4. Distribute each term: x³-4x², 5x²-20x, and 6x-24.
  5. Combine like terms to get the final answer: x³+x²-14x-24.

Example: (x+2)(x+3)(x-4) = x³+x²-14x-24

This method can be applied to various triple brackets expansion examples in GCSE.

Highlight: Pay close attention to signs when multiplying, especially with negative terms like (x-4).

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

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This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

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