8.8- 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 - 9

Back

(x + 3)(x - 3)

Front

Factor the expression: w⁴ - 625

Back

(w² + 25)(w² - 25)

Front

Can the expression x² - 16y³ be factored using the Difference of Squares?

Back

No, it cannot be factored using the Difference of Squares.

Front

Factor the expression: 4a² - 25

Back

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

Front

Can the expression 9n² + 1 be factored using the Difference of Squares?

Back

No, it cannot be factored using the Difference of Squares.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which can be factored as (a ± b)².

Front

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

Back

Identify the two square terms in the expression.

Front

Provide an example of a Difference of Squares expression.

Back

x² - 25 is an example, which factors to (x + 5)(x - 5).

Front

What is the result of factoring a Difference of Squares?

Back

The result is two binomials: (a + b)(a - b).