We are given the following expression:
![(x+2)(x+2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/vssnxk0lsw2qv4kpk0v0kh97yacd20g5wm.png)
We can use exponentials to simplify the expression since we have the product of the same term:
![(x+2)(x+2)=(x+2)^2](https://img.qammunity.org/2023/formulas/mathematics/college/18fln99qsxrfm6m3p5bhsfoyp3npeww53c.png)
We can simplify further by applying the following property:
![(a+b)^2=a^2+2ab+b^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/4wp4nbc9fbx6r68qmr14kcon9sub55nk8b.png)
Applying the property we get:
![(x+2)^2=x^2+2(2x)+2^2](https://img.qammunity.org/2023/formulas/mathematics/college/cu8j5qxjlpcmxfoitx5361eqdncos9g8cg.png)
Simplifying:
![(x+2)^2=x^2+4x+4](https://img.qammunity.org/2023/formulas/mathematics/college/2f049y2jqf8fkofo330i4d5actsn254ewg.png)
And thus we get the simplified form.