The Laplace Transform Of $t ^ { 2 } \sin ( 3 t )$

The Laplace transform of $t ^ { 2 } \sin ( 3 t )$ is

A) $\left( 18 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }$
B) $\left( 18 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 2 }$
C) $\left( 30 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 2 }$
D) $\left( 30 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }$
E) $\left( 12 s ^ { 2 } - 54 \right) / \left( s ^ { 2 } + 9 \right) ^ { 3 }$

Correct Answer:

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