Year 9 Interactive Maths - Second Edition

Perfect Squares

is a perfect square.

Geometrical Illustration

Consider a square of side (a + b) units as shown in the following diagram.

From (1) and (2), we get:

is a perfect square.

Example 11

Solution:

    Alternatively, we use the formula:

    as shown below.

    Alternatively, we use the formula:

    as shown below.

Example 12

Solution:

Application of Perfect Squares

Example 13

Expand:

Solution:

Key Terms

perfect square