Question

PLS HELP!!! NO WORK NEEDED!! Factor 27− 1/125 x^3

Answer 1

The answer is (3 - 5x) (25x^2 + 15x + 9).

Step-by-step explanation:

27 - 1 / 125 x^3 is a difference of cubes.

Formula of a difference of a cube

$a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})$

    27 =  $(3)^{3}$  ⇒ a = 3

  125$x^{3}$ = $(5x)^{3}$ ⇒ b = 5x

⇒  27 - 1 / 125 x^3 = (3 - 5x) (3^2 + 15x + 25x^2)

                              = (3 - 5x) (25x^2 + 15x + 9)