Question

Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p

Answer 1

The equivalent equation is
`p^2 + 18 = 9p`

Explanation:

p is given by the following relation:

`p = x^2 - 2`

And we are given the following equation:

`(x^2 - 2)^2 + 18 = 9x^2 - 18`

On the right side, we can simplify. So

`(x^2 - 2)^2 + 18 = 9(x^2 - 2)`

Replacing
`x^2 - 2` by p, the equation is:

`p^2 + 18 = 9p`