Question

Let `a=x^2+4`. How do you rewrite `(x^2+4)^2 +32 = 12x^2+48` in terms of `a` and set it equal to zero.?

Answer 1

`a^2-12a+32=0`

Explanation:

`(x^2+4)^2+32=12x^2+48` is equivalent to (factorizing RHS)

`(x^2+4)^2+32=12(x^2+4)`

But as `a=x^2+4`, this can be written as

`a^2+32=12xxa`

or `a^2+32=12a`

or `a^2-12a+32=0`