Find the Following Product and Express Your Answer in Simplest $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

Find the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

A) $- 45 \sqrt { 21 } - 21 \sqrt { 3 } + 180 \sqrt { 7 } + 84$
B) $45 \sqrt { 21 } - 21 \sqrt { 7 } - 180 \sqrt { 3 } + 84$
C) $15 \sqrt { 3 } + 3 \sqrt { 7 } - 84$
D) $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84 \sqrt { 27 }$
E) $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84$

Correct Answer:

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