Respuesta :

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]