Factoring Expressions and Identifying Patterns

What is the factored form of a^2 - b^2?

• (a - b)(a - b)

• (a + b)(a + b)

• (a + b)(a - b)

• a^2 + b^2

Which of the following expressions can be factored using the difference of two squares?

• x^2 + 16

• 18x^2 - 8y^2

• 9y^2 + 49

• x^2 - 100

What are the factors of x^2 - y^2?

• (x - y)(x - y)

• (x + y)(x + y)

• (x + y)(x - y)

• x^2 + y^2

Factor the expression x^2 - 16.

• (x - 4)(x - 4)

• (x + 4)(x + 4)

• (x + 4)(x - 4)

• (x - 8)(x + 8)

What is the square root of 25x^2?

• 5x^2

• 25x

• 5x

• 5

What is the factored form of x^2 - y^2?

• (x+y)(x-y)

• (x-y)(x-y)

• (x+y)(x+y)

• (x-y^2)

Factor the expression x^2 - 16.

• (x-8)(x+8)

• (x-4)(x+4)

• (x-4)(x-4)

• (x+16)(x-16)

What is the factored form of 25x^2 - 1?

• (5x-1)(5x-1)

• (25x+1)(x-1)

• (5x+1)(5x-1)

• (5x+1)(5x+1)

Factor the expression 18x^2 - 8y^2.

• 2(3x+2y)(3x-2y)

• 2(9x-4y)(9x+4y)

• (18x-8y)(18x+8y)

• 2(3x-2y)(3x-2y)

Factor the expression 36y^2 - 100.

• (6y-10)(6y-10)

• (6y+10)(6y-10)

• (36y+10)(y-10)

• (18y+50)(18y-50)