Answer:
The correct option is: [tex]x^2-2x-3+(-x^2+4x+2)=2x-1[/tex]
Option D is correct answer.
Step-by-step explanation:
We need to find which sum or difference is modelled by the algebra tiles?
The first tiles represent the expression:
[tex]x^2-2x-3[/tex]
The second tiles represent the expression:
[tex]-x^2+4x+2[/tex]
The tiles that are cancelled are not part of the result,
So, result is: [tex]2x-1[/tex]
Now checking if the tiles are added or subtracted.
Adding the terms we get:
[tex]x^2-2x-3+(-x^2+4x+2)\\=x^2-2x-3-x^2+4x+2\\=x^2-x^2-2x+4x-3+2\\=2x-1[/tex]
So, the terms are added.
The correct option is: [tex]x^2-2x-3+(-x^2+4x+2)=2x-1[/tex]
Option D is correct answer.
