Answer:
Options (2), (3) and (5)
Explanation:
This question is incomplete; here is the complete question.
Which products result in a perfect square trinomial? Select three options.
1). (-x + 9)(-x - 9)
2). (xy + x)(xy + x)
3). (2x - 3)(-3 + 2x)
4). (16 - x²)(x²+ 16)
5). (4y² + 25)(25 + 4y²)
Option (1),
(-x + 9)(-x - 9) = -(-x + 9)(x + 9)
Therefore, product is not a perfect square.
Option (2)
(xy + x)(xy + x) = (xy + x)²
So the product is a perfect square trinomial.
Option (3)
(2x - 3)(-3 + 2x) = (2x - 3)²
Therefore, product is a perfect square trinomial.
Option (4)
(16 - x²)(x²+ 16) = (-x⁴+ 256)
Therefore, product is not a trinomial.
Option (5)
(4y² + 25)(25 + 4y²) = (4y² + 25)²
= 16y⁴ + 200y² + 625
Therefore, product is a perfect square trinomial.
Options (2), (3) and (5) are the correct options.