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
[tex]a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})[/tex]
27 = [tex](3)^{3}[/tex] ⇒ a = 3
125[tex]x^{3}[/tex] = [tex](5x)^{3}[/tex] ⇒ b = 5x
⇒ 27 - 1 / 125 x^3 = (3 - 5x) (3^2 + 15x + 25x^2)
= (3 - 5x) (25x^2 + 15x + 9)
