Overview
Expressions and Equations

Square of a Binomial

 Video Tutorial

Key Aspects:
  • Visualising a Binomial Square (also known as Binomial Expansion)
  • Three Formulas for Expanding Binomials
  • Examples of How to Apply These Formulas
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 Revision Cards

1) Visualising the Square of a Binomial

Square of a binomial formula, showing (a + b)² = a² + b² + 2ab with coloured squares and rectangles representing each term.

2) Square of a Binomial: 3 Formulas

Three binomial square formulas, including (a + b)² = a² + b² + 2ab, (a - b)² = a² + b² - 2ab, and (a + b)(a - b) = a² - b².

3) Applying Formula 1

Binomial expansion showing the formula (a + b)² = a² + b² + 2ab, and an example (-2x + 3)² = 4x² + 9 - 12x.

4) Applying Formula 2

Expanding the binomial (5x - 2y)² using the formula (a - b)² = a² + b² - 2ab, resulting in 25x² + 4y² - 20xy.

5) Applying Formula 3

Identifying variables a and b with signs and coefficients in the formula (a + b)(a - b) = a² - b², using (3x + 4)(3x - 4) = 9x² - 16 as an example.

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