Difference of Two Squares

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Year 10 Interactive Maths - Second Edition

Difference of Two Squares

Expand the binomial product (a + b)(a - b) using the Distributive Law and collect like terms.

Example 6

Solution:

The binomial product (x + y)(x - y) is expanded using the Distributive Law.

Example 7

Example 7 involves expanding two binomial products. You can expand the product using either the Distributive Law or the formula for the difference of two squares.

Solution:

Expanding the binomial product (x + 7)(x - 7) using the Distributive Law.

Alternatively, we can use the formula:

as shown below.

Expanding the binomial product (4x - 5)(4x + 5) using the Distributive Law.

Alternatively, we can use the formula:

as shown below.

Key Terms

difference of two squares

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