Answer:
Option C.
Step-by-step explanation:
Basically, to solve this problem, we just have to find the sum or difference that results in [tex]2x^{2}+2x+2[/tex]
Option A:
[tex](x^{2}+4x-2)+(x^{2}-2x-4)=2x^{2}+2x-6[/tex]
Option B:
[tex](x^{2}+4x-2)+(x^{2}+2x+4)=2x^{2}+6x+2[/tex]
Option C:
[tex](x^{2}+4x-2)-(-x^{2}+2x-4)=x^{2}+4x-2+x^{2}-2x+4=2x^{2}+2x+2[/tex]
Therefore, option C is the expression which models the algebra tiles.
