Answer:
(D) [tex]p^{2} -9p+18[/tex]
Step-by-step Explanation:
Assuming that the equation [tex]x^{2} -2[/tex] = p, we can convert the equation into this.
[tex]p^{2} +18=9p[/tex]
We can convert [tex]9x^{2} -18[/tex] into 9p because [tex]x^{2} -2[/tex] × 9 = [tex]9x^{2} -18[/tex]
Now we simplify this equation.
We can subtract 9p from both sides of the equation.
[tex]p^{2} +18-9p = 0[/tex]
Re-ordering the equation gets us:
[tex]p^{2} -9p+18[/tex]
So, (D) [tex]p^{2} -9p+18[/tex] is equivalent to the original expression of [tex](x^{2} -2)^{2} + 18 = 9x^{2} -18[/tex]
