Final answer:
To factor the given trinomial, simplify it first and then check if it is a perfect square trinomial. The given trinomial (x² + 2x - 2) is not a perfect square trinomial.
Step-by-step explanation:
To factor the perfect-square trinomial y = (x² + 2x + 1) - 1 - 1, we can simplify the expression. First, combine like terms by adding -1 and -1, which gives us y = (x² + 2x - 1 - 1). Simplifying further, y = (x² + 2x - 2).
Now, we need to determine if the trinomial is a perfect square. A perfect square trinomial has the form (a + b)² = a² + 2ab + b². Comparing this with the trinomial y = (x² + 2x - 2), we can see that it is not a perfect square trinomial.
Therefore, the trinomial y = (x² + 2x - 2) cannot be factored as a perfect square trinomial.
Learn more about Factoring a perfect-square trinomial