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Nadya [2.5K]
3 years ago
7

Use a special-product rule to factor the perfect-square trinomial. y^4 - 6y^2 + 9

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

Answer:

The factorization of the perfect-square trinomial is: (y^2 - 3)^2

Step-by-step explanation:

These two factorizations involve perfect-square trinomials.

(x + y)^2 = x^2 + 2xy + y^2

(x - y)^2 = x^2 - 2xy + y^2

In this question, we use the second. So

y^4 - 6y^2 + 9 = (y^2 - 3)^2

The factorization of the perfect-square trinomial is: (y^2 - 3)^2

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