Expanding Brackets: A Comprehensive Tutorial with Examples

Expanding Brackets: A Comprehensive Tutorial with Examples

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to expand two sets of brackets using the FOIL method, which stands for First, Outside, Inside, Last. It covers the process of multiplying terms in brackets, simplifying results, and handling negative numbers. The tutorial also includes complex examples with larger coefficients and demonstrates how to expand three brackets by first expanding two and then multiplying the result by the third. Key concepts such as quadratic expressions and the importance of careful handling of negative numbers and powers are highlighted.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to expand and simplify the expression (X + 4)(X + 11).

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the quadratic form in the context of expanding brackets?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle coefficients when expanding expressions like (2X - 3)(X + 4)?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the steps to expand a three-bracket expression like (X + 2)(X - 3)(X + 1)?

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