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

Is the expression 16x² + 25 factorable?

Back

Unfactorable

Front

Factor the expression: x⁶ - 400

Back

(x³ - 20)(x³ + 20)

Front

Factor the expression: x² - 225

Back

(x - 15)(x + 15)

Front

Factor completely: 3x² - 75

Back

3(x + 5)(x - 5)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².

Front

What is the first step in factoring a difference of squares?

Back

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

Front

Can the expression x² + 16 be factored using the difference of squares?

Back

No, x² + 16 cannot be factored using the difference of squares because it is a sum of squares.

Front

What is the result of factoring x² - 49?

Back

(x + 7)(x - 7)