Question

Factor:

125x^3-27

A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)​

Answer 1

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

Explanation:

`125 {x}^(3) - 27 \\ \\ = ( {5x)}^(3) - {(3)}^(3) \\ \\ = (5x - 3) \{(5x) ^(2) + 5x * 3 + ( {3})^(2) \}\\ \\ = (5x - 3) \{25 {x}^(2) + 15x + 9\}`