Verified Answer :

Hagrid

The correct answer for this question is letter "A. 2x2 – 4x – 6"

Based from the diagram shown, there two positive x^2, there are four negative x and six minus signs. Looking at it and adding all the same terms, you will be able to get the quadratic expression 2x^2 - 4x - 6.

we know that

In the algebra tiles we have

\((x^{2} +x^{2} )+(-x-x-x-x)+(-1-1-1-1-1-1)\)

Adding all the same terms

\(=(2x^{2})+(-4x)+(-6)\\=2x^{2} -4x-6\)

therefore

the answer is the option A

\(2x^{2} -4x-6\)