Factor: Difference Of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.

Front

Factor: x² - 16

Back

(x + 4)(x - 4)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

Factor: 4x² - 16

Back

4(x - 2)(x + 2)

Front

Factor: 4a² - 25

Back

(2a + 5)(2a - 5)

Front

Factor: 3x² - 75

Back

3(x + 5)(x - 5)

Front

Factor: x² - 9

Back

(x + 3)(x - 3)

Front

What is the first step in factoring a Difference of Squares?

Back

Identify the two square terms and rewrite the expression in the form a² - b².

Front

Can the expression 2x² - 8 be factored using the Difference of Squares?

Back

No, it can be factored as 2(x² - 4), which is a Difference of Squares, but it is not in the form a² - b² directly.

Front

What is the general form of a Difference of Squares?

Back

a² - b² = (a + b)(a - b)