Factor.
-$$\mathrm { x } ^ { 3 } - 27$$
A) $( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)$
B) $( x - 3 ) \left( x ^ { 2 } + 3 x + 9 \right)$
C) $( x + 27 ) \left( x ^ { 2 } - 1 \right)$
D) $( x - 3 ) \left( x ^ { 2 } + 9 \right)$

Question

Quizplus · Accepted Answer

This is a difference of cubes, which factors as
$$\mathrm { x } ^ { 3 } - 27 = (\mathrm{x}-3)(\mathrm{x}^2+3\mathrm{x}+9)$$ 
Option B matches this factorization, while the other choices do not.

Factor - x3−27\mathrm { x } ^ { 3 } - 27x3−27

Factor
- $\mathrm { x } ^ { 3 } - 27$