Difference of Squares
(KS4, Year 10)
The LessonA difference of squares is square number (a number multiplied by itself) subtracted from another square number.
A Real Example of a Difference of SquaresIt is easier to understand a difference of squares with an example.
In this example,
- 32 = 3 × 3 = 9 (3 squared).
- 22 = 2 × 2 = 4 (2 squared).
A Difference of Squares in GeneralIn general, we can use symbols instead of numbers:
a and b are both integers (whole numbers).
How to Factor a Difference of SquaresA difference of squares can be factored into two brackets:
Lesson SlidesThe slider below shows why a difference of squares can be factored as a2 − b2 = (a + b)(a − b). Open the slider in a new tab
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