Mathematics

Difference of Two Squares

Factorize a difference of two squares.

a² - b² = (a - b)(a + b)

Formula Explanation

The identity expresses the difference between two squares as a product of two factors.

Variables Explained

a and b = Algebraic expressions.

Solved Example

Factorize x² - 49.
x² - 49 = (x - 7)(x + 7).

Exam Tip

Check whether both terms are perfect squares.