question_answer

The dimensions of a rectangular box are represented as \[\left( a\text{ }+\text{ }2b \right)\text{ }\left( {{a}^{2}}+\text{ }4{{b}^{2}} \right)\] and (a - 2b) then what will be the volume of the rectangular box?

A) \[{{a}^{2}}\,8{{b}^{4}}\,+\,6\text{ }{{a}^{2}}{{b}^{2}}\]           

B) \[{{a}^{4}}\,+16{{b}^{4}}\,-\,8{{a}^{2}}{{b}^{2}}\]

C) \[{{a}^{4}}\,-\,16{{b}^{2}}\]                        

D) \[{{a}^{4}}\,+8{{b}^{4}}\,+\,12{{a}^{2}}{{b}^{2}}\]

E) None of these