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

Question

Quizplus · Accepted Answer

This is a sum of cubes, which factors as $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$. Here, $t^3 + 27$ can be written as $t^3 + 3^3$, so it factors to $(t + 3)(t^2 - 3t + 9)$.

Factor - t3+27t ^ { 3 } + 27t3+27 A) (t−27)(t2−1)( t - 27 ) \left( t ^ { 2 } - 1 \right)(t−27)(t2−1)

Factor
- $t ^ { 3 } + 27$ A) $( t - 27 ) \left( t ^ { 2 } - 1 \right)$