We are given the following equation:
![\sqrt[]{9x+5}=x-7](https://img.qammunity.org/2023/formulas/mathematics/college/dye44xnk435ab7xfmsjh5w25xmeug9kram.png)
If we square the left side we get:
![(\sqrt[]{9x+5})^2](https://img.qammunity.org/2023/formulas/mathematics/college/12b9rohp0kb3i094nm78ae9wvj1qlg7ilv.png)
Since the square and the square root cancel each other we get:
![(\sqrt[]{9x+5})^2=9x+5](https://img.qammunity.org/2023/formulas/mathematics/college/cnps0emuyamwzq6oouh3a3r3tr5mu8aoki.png)
Since we can't simplify any further this is the expression we get on the left side.
Now, We take the square of the right side, we get:

Now, to expand the expression we use the following relationship:

Applying the result to the given expression we get:

Since we can't simplify any further this is the expression for the right side.