Question

What is the factored form of this expression? x9-1000
A. (x3-10)(x3+10)(x2-10x+100)
B. (x3+10)(x6-10x3+100)
C. (x-10)(x+10)(x3-10x2+100)
D. (x3-10)(x6+10x3+100)

Answer 1

Answer:

D. (x^3 - 10)(x^2 + 10x^3 + 100).

Step-by-step explanation:

Using  the identity a^3 - b^3 = (a - b)(a^2  + ab + b^2):

We have  x^9-1000 :

- here a = x^3 and b = 10 so:

x^9-1000 = (x^3 - 10)(x^2 + 10x^3 + 100)