Factor Completely:

Question

1000p^3 - 1

(One thousand P cubed minus one)

Answer 1

That is the difference of two cubes: (10p)^3 and 1^3
One of the factors is (10p -1).

Divide that into 1000p^3 -1 for the other factor. Use polynomial long division. (The answer will start out 100 p^2 + 10p + ? ). Then see if you can factor that.

Answer 2

Thank You So Much!