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 the expression: x² - 25

Back

(x + 5)(x - 5)

Front

Factor the expression: x⁴ - 16

Back

(x² - 4)(x² + 4)

Front

Fully factor the expression: 4x² - 16

Back

4(x - 2)(x + 2)

Front

Factor the expression: x² - 225

Back

(x - 15)(x + 15)

Front

Factor the expression: 25x² - 81

Back

(5x + 9)(5x - 9)

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

What is an example of a difference of squares?

Back

x² - 36 is a difference of squares because it can be expressed as (x + 6)(x - 6).

Front

How do you recognize a difference of squares?

Back

Look for an expression that is in the form a² - b², where both a and b are perfect squares.

Front

What is the factored form of 9x² - 49?

Back

(3x + 7)(3x - 7)