Factoring the Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a special factoring technique used to factor expressions of the form a² - b², which can be factored into (a + b)(a - b).

Front

Factor the expression: x² - 144

Back

(x + 12)(x - 12)

Front

Factor the expression: 4x² - 9

Back

(2x - 3)(2x + 3)

Front

What is the first step in factoring any polynomial?

Back

Look for the Greatest Common Factor (GCF).

Front

Factor the expression: 32n² - 50

Back

2(4n + 5)(4n - 5)

Front

Factor the expression: 4m² - 49

Back

(2m + 7)(2m - 7)

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

What is the formula for factoring the Difference of Squares?

Back

The formula is a² - b² = (a + b)(a - b).

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

What type of expressions can be factored using the Difference of Squares?

Back

Expressions that can be written in the form a² - b².