Answer:
The factorization of the perfect-square trinomial is: [tex](y^2 - 3)^2[/tex]
Step-by-step explanation:
These two factorizations involve perfect-square trinomials.
[tex](x + y)^2 = x^2 + 2xy + y^2[/tex]
[tex](x - y)^2 = x^2 - 2xy + y^2[/tex]
In this question, we use the second. So
[tex]y^4 - 6y^2 + 9 = (y^2 - 3)^2[/tex]
The factorization of the perfect-square trinomial is: [tex](y^2 - 3)^2[/tex]
