Factoring the Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a special factorization pattern that states: a² - b² = (a + b)(a - b).

Front

Factor the expression: 25x² - 81

Back

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

Front

Factor the expression: 9n² - 1

Back

(3n + 1)(3n - 1)

Front

Is the expression 36x² + 4 factorable?

Back

Not Factorable

Front

What is the first step in factoring any polynomial?

Back

Look for the GCF (Greatest Common Factor).

Front

Factor the expression: 4x² - 9

Back

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

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, the largest factor that divides all terms.

Front

What is the formula for factoring the difference of squares?

Back

a² - b² = (a + b)(a - b) where a and b are real numbers.

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Front

What is the result of factoring 49y² - 25?

Back

(7y + 5)(7y - 5)