Factor the sum or difference of two cubes.
-$s ^ { 3 } - 343 t ^ { 3 }$
A) $( s - 7 t ) \left( s ^ { 2 } + 49 t ^ { 2 } \right)$
B) $( s + 343 t ) ( s + t ) ( s - t )$
C) $( s - 7 t ) \left( s ^ { 2 } + 7 s t + 49 t ^ { 2 } \right)$
D) $( s + 7 t ) \left( s ^ { 2 } - 7 s t + 49 t ^ { 2 } \right)$

Question

Quizplus · Accepted Answer

The sum or difference of two cubes can be factored using the formula $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$. Here, $343t^3$ is the cube of $7t$, so the expression becomes $(s - 7t)(s^2 + 7st + 49t^2)$.

Factor the Sum or Difference of Two Cubes s3−343t3s ^ { 3 } - 343 t ^ { 3 }s3−343t3

Factor the Sum or Difference of Two Cubes $s ^ { 3 } - 343 t ^ { 3 }$