Factor completely x8 − 16.

A: (x4 − 4)(x4 + 4)
B: (x2 − 2)(x2 + 2)(x4 + 4)
C: (x2 − 2)(x2 + 2)(x4 − 4)
D: (x2 − 2)(x2 − 2)(x4 − 4)

B

Step-by-step explanation:

Hence, option B is the correct answer.

B

Step-by-step explanation:

x^8 - 16

(x^4)^2 - 4^2

(x^4 + 4) (x^4 - 4)

(x^4 + 4) ((x^2)^2 - 2^2)

(x^4 + 4) ((x^2 + 2) x^2 - 2))

(x^4 + 4) (x^2 + 2) (x^2 - 2)

Rearrange based on choices

(x^2 - 2) (x^2 + 2) (x^4 + 4)

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

were is the equation