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

Answer:

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

Step-by-step 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:

$p^2 + 18 = 9p$