GCF and Difference of Two Squares

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

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 they have in common.

Front

What is the GCF of 12 and 30?

Back

The GCF of 12 and 30 is 6.

Front

What is the difference of two squares?

Back

The difference of two squares is a special factorization pattern that states a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression 49x^2 - 144y^2 using the difference of two squares.

Back

(7x + 12y)(7x - 12y) is the factorization of 49x^2 - 144y^2.

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

How do you factor the expression x^2 - 9?

Back

x^2 - 9 can be factored as (x + 3)(x - 3) using the difference of two squares.

Front

What is the GCF of 3x^2 and 3x?

Back

The GCF of 3x^2 and 3x is 3x.

Front

What is the GCF of 18xy^3 and 25x^3y^2?

Back

The GCF of 18xy^3 and 25x^3y^2 is xy^2.

Front

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

Back

The formula for factoring the difference of two squares is a^2 - b^2 = (a + b)(a - b).