How do you factor #x^3 - 1000#?

1 Answer
Feb 10, 2016

Answer:

Factors are #(a-10)*(a^2-10a+100)#

Explanation:

The polynomial is of the type #a^3-b^3# whose standard factors are #(a-b)*(a^2-a*b+b^2)#, as #1000# is nothing but.#10^3#.

Thus the polynomial can be expressed as #x^3-10^3# and its factors will be

#(a-10)*(a^2-a*10+10^2)# or

#(a-10)*(a^2-10a+100)#.