GCF and Difference of Two Squares

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 24 and 56?

Back

The GCF of 24 and 56 is 8.

Front

What is the GCF of the expression 3x² - 3x?

Back

The GCF of the expression 3x² - 3x is 3x.

Front

What is the difference of two squares?

Back

The difference of two squares is a mathematical expression of the form a² - b², which can be factored into (a + b)(a - b).

Front

Factor the expression x² - 16 using the difference of two squares.

Back

The expression x² - 16 can be factored as (x + 4)(x - 4).

Front

What is the GCF of 27b³ and 16c²?

Back

The GCF of 27b³ and 16c² is 1.

Front

What is the GCF of the expression 2x² - 4x + 8?

Back

The GCF of the expression 2x² - 4x + 8 is 2.

Front

What is the formula for factoring the difference of two squares?

Back

The formula for factoring the difference of two squares is a² - b² = (a + b)(a - b).

Front

Can the GCF of two numbers be greater than either of the numbers?

Back

No, the GCF of two numbers cannot be greater than either of the numbers.