Answer:
The equivalent equation is [tex]p^2 + 18 = 9p[/tex]
Step-by-step explanation:
p is given by the following relation:
[tex]p = x^2 - 2[/tex]
And we are given the following equation:
[tex](x^2 - 2)^2 + 18 = 9x^2 - 18[/tex]
On the right side, we can simplify. So
[tex](x^2 - 2)^2 + 18 = 9(x^2 - 2)[/tex]
Replacing [tex]x^2 - 2[/tex] by p, the equation is:
[tex]p^2 + 18 = 9p[/tex]
