Factoring Polynomials: Difference of Two Squares

What is the basic pattern used for factoring the difference of two squares?

• (a + b)(a - b)

• (a - b)(a - b)

• (a + b)(a + b)

• (a - b)(b - a)

In the example x² - 25, what are the factors?

• (x + 5)(x - 5)

• (x + 25)(x - 25)

• (x + 5)(x + 5)

• (x - 5)(x - 5)

For the expression 16x² - 121, what is the correct factorization?

• (16x + 11)(16x - 11)

• (4x + 11x)(4x - 11x)

• (4x + 121)(4x - 121)

• (4x + 11)(4x - 11)

What are the factors of 36x² - 100?

• (6x + 10)(6x - 10)

• (6x + 10)(6x + 10)

• (36x + 10)(36x - 10)

• (6x + 100)(6x - 100)

How would you factor x² - 4y²?

• (x - 2y)(x - 2y)

• (x + 2y)(x - 2y)

• (x + 4y)(x - 4y)

• (x + 2y)(x + 2y)