✔
![\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/p55b22ficismz075mlpltm6ffymvjb89zi.png)
A.
z + z + z =
![{z}^(3)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/8ik1jyyj2rztod5r0i5lh30h1veoem571q.png)
➡ 3z ≠
➡ L. H. S ≠ R. H. S
Clearly, the two expressions are not equivalent.
B.
13x + 9 - 2x = 15x + 9
➡ 11x + 9 ≠ 15x + 9
➡ L. H. S ≠ R. H. S
The two expressions are not equivalent.
C.
11 x² + 4x + 9 ≠ 15 x² + 9
➡ L. H. S ≠ R. H. S
The two expressions are not equivalent.
![\boxed{D.}](https://img.qammunity.org/2022/formulas/mathematics/middle-school/fmlcnifwj5gzh5ydkofq6iup5ogh14082f.png)
6x + 9x = 3 ( 2x + 3x )
➡ 3 ( 2x + 3x ) = 3 ( 2x + 3x )
➡ L. H. S = R. H. S
Since L. H. S is equal to R. H. S., the two expressions are equivalent.
![\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/c2kjhj3p85p2fvkeelssgt6uucvlgqmfaa.png)