Answer:
D. [tex]-2a^2+2a+4[/tex]
Step-by-step explanation:
[tex]d_1=a^2+2a+3\\d_2=2a^2+a+1\\[/tex]
First, substitute both of these equations into [tex]2(d_1-d_2)[/tex]
[tex]2((a^2+2a+3)-(2a^2+a+1))[/tex]
Now, you just simplify. I don't have much to say about it, but here's the steps:
[tex]2(a^2+2a+3-2a^2-a-1)\\2(a^2-2a^2+2a-a+3-1)\\2(-a^2+a+2)\\-2a^2+2a+4[/tex]
Your answer is D. [tex]-2a^2+2a+4[/tex]
