(x^2-2x+4)/ ((x-2)(x^2+4)) = y

can this equation be simplified farther?

I don't see an easy simplification.

To determine if the equation can be simplified further, let's take a closer look at it.

The equation is given as:
y = (x^2 - 2x + 4)/ ((x - 2)(x^2 + 4))

To simplify further, we can start by factoring the numerator and denominator.

The numerator, x^2 - 2x + 4, cannot be factored any further because it does not have any common factors or any other factorization.

The denominator, (x - 2)(x^2 + 4), can also not be factored any further. (x - 2) is already factored and (x^2 +4) is a sum of squares, which means it cannot be factored further using real numbers.

Since neither the numerator nor the denominator can be factored any further, we can conclude that the equation given, y = (x^2 - 2x + 4)/((x - 2)(x^2 + 4)), cannot be simplified any further.