Answer:
(D)
![p^(2) -9p+18](https://img.qammunity.org/2021/formulas/mathematics/high-school/58vsuxv4fma9mki70u6iv0whrh4qi2aix9.png)
Explanation:
Assuming that the equation
= p, we can convert the equation into this.
![p^(2) +18=9p](https://img.qammunity.org/2021/formulas/mathematics/high-school/bs0vum1lwrbhq6wzq65guqd05qywdiqj6g.png)
We can convert
into 9p because
× 9 =
![9x^(2) -18](https://img.qammunity.org/2021/formulas/mathematics/high-school/uyml4ry9ndb2x5ojuhoj35wxoks5anu3bi.png)
Now we simplify this equation.
We can subtract 9p from both sides of the equation.
![p^(2) +18-9p = 0](https://img.qammunity.org/2021/formulas/mathematics/high-school/lpl02d4m0mndyc4zbz9u1ry5iekq8bjwzi.png)
Re-ordering the equation gets us:
![p^(2) -9p+18](https://img.qammunity.org/2021/formulas/mathematics/high-school/58vsuxv4fma9mki70u6iv0whrh4qi2aix9.png)
So, (D)
is equivalent to the original expression of