Question

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

Answer 1

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

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)