Find the Indicated Product $\left( 2 x ^ { n } + 1 \right) \left( 3 x ^ { n } - 1 \right)$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 2 x ^ { n } + 1 \right) \left( 3 x ^ { n } - 1 \right)$

A) $6 x ^ { n } { } ^ { 2 } - x ^ { n } + 1$
B) $6 x ^ { 2 n } - x ^ { n } - 1$
C) $6 x ^ { 2 n } + x ^ { n } - 1$
D) $6 x ^ { n } { } ^ { 2 } + x ^ { n } - 1$
E) $6 x ^ { 2 n } - x ^ { n } + 1$

Correct Answer:

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