Factor.
-$\mathrm { x } ^ { 3 } - 125$
A) $( x - 5 ) \left( x ^ { 2 } + 5 x + 25 \right)$
B) $( x + 5 ) \left( x ^ { 2 } - 5 x + 25 \right)$
C) $( x + 125 ) \left( x ^ { 2 } - 1 \right)$
D) $( x - 5 ) \left( x ^ { 2 } + 25 \right)$

Question

Quizplus · Accepted Answer

This is a difference of cubes, factored as $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$, where $a = x$ and $b = 5$, resulting in $(x - 5)(x^2 + 5x + 25)$.

Factor - x3−125\mathrm { x } ^ { 3 } - 125x3−125

Factor
- $\mathrm { x } ^ { 3 } - 125$