Answer:
The correct option is B). [tex]2x^{2}+16x+10[/tex]
Step-by-step explanation:
Given function is [tex](2x+4)^{2}-(2x^{2} +6)[/tex]
On simplifying,
=[tex](2x+4)^{2}-(2x^{2} +6)[/tex]
=[tex][4x^{2}+16x+16]-(2x^{2} +6)[/tex]
=[tex]4x^{2}+16x+16-2x^{2}-6[/tex]
=[tex]2x^{2}+16x+10[/tex]
Thus, The correct option is B). [tex]2x^{2}+16x+10[/tex]