Find the Following Product and Express Your Answer in Simplest $( 4 \sqrt { 11 } - 5 \sqrt { 77 } ) ( 4 \sqrt { 343 } + \sqrt { 77 } )$

Multiple Choice

Find the following product and express your answer in simplest radical form. $( 4 \sqrt { 11 } - 5 \sqrt { 77 } ) ( 4 \sqrt { 343 } + \sqrt { 77 } )$

A) $- 112 \sqrt { 77 } - 44 \sqrt { 7 } + 980 \sqrt { 11 } + 385$
B) $112 \sqrt { 77 } - 44 \sqrt { 11 } - 980 \sqrt { 7 } + 385$
C) $16 \sqrt { 7 } + 4 \sqrt { 11 } - 385$
D) $112 \sqrt { 77 } + 44 \sqrt { 7 } - 980 \sqrt { 11 } - 385 \sqrt { 343 }$
E) $112 \sqrt { 77 } + 44 \sqrt { 7 } - 980 \sqrt { 11 } - 385$