What is a difference of squares that has a factor of x+8?

A: x2-4

B: x2-16

C: x2-64

D: x2-256

C

Step-by-step explanation:

a² - b² ← is a difference of squares and factors as

(a - b) (a + b)

We are looking for an expression with 8² = 64

x² - 64 ← is a difference of squares

with a = x and b = 8, so

(x - 8) (x + 8) ← in factored form

C: x2-64

Step-by-step explanation:

Simplifying A: x2-4

Applying the formula a^2-b^2 = (a+b) (a-b)

= (x+2) (x-2)

Simplifying B: x2-16

Applying the formula a^2-b^2 = (a+b) (a-b)

= (x+4) (x-4)

Simplifying C:x2-64

Applying the formula a^2-b^2 = (a+b) (a-b)

= (x+8) (x-8)

Simplifying D: x2-256

Applying the formula a^2-b^2 = (a+b) (a-b)

= (x+16) (x-16)

C: x2-64 is a difference of squares that has a factor of x+8!