GCF and Difference of Two Squares

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 24 and 56?

Back

List the factors of each number: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24; Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56. The GCF is 8.

Front

Factor the expression: 5x^2 + 20x

Back

The GCF is 5x, so it can be factored as 5x(x + 4).

Front

What is the difference of two squares?

Back

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

Front

Factor the expression: x^2 - 16

Back

This is a difference of two squares: (x + 4)(x - 4).

Front

Factor the expression: 49x^2 - 144y^2

Back

This is a difference of two squares: (7x + 12y)(7x - 12y).

Front

What is the formula for the difference of two squares?

Back

a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: 10x + 15

Back

The GCF is 5, so it can be factored as 5(2x + 3).

Front

What is the GCF of 5x^2 and 20x?

Back

The GCF is 5x.

Front

Factor the expression: x^2 - 25

Back

This is a difference of two squares: (x + 5)(x - 5).