Difference of Two Squares

Front

What is the Difference of Two Squares?

Back

The Difference of Two Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies to any two squares.

Front

Factor x² - 9

Back

(x + 3)(x - 3)

Front

Factor x² - 16

Back

(x + 4)(x - 4)

Front

Factor x² - 144

Back

(x + 12)(x - 12)

Front

Factor 49x² - 144y²

Back

(7x + 12y)(7x - 12y)

Front

Factor 64x² - 81y²

Back

(8x + 9y)(8x - 9y)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

What is the formula for factoring the Difference of Two Squares?

Back

a² - b² = (a + b)(a - b)

Front

What are the steps to factor a Difference of Two Squares?

Back

1. Identify the squares. 2. Apply the formula a² - b² = (a + b)(a - b).

Front

What is the result of (x + 5)(x - 5)?

Back

x² - 25 (This is an example of the Difference of Two Squares.)