Question

Which products result in a perfect square trinomial? Select three options.

Answer 1

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. The rule for a perfect square trinomial is x^2+2xy+y^2 = (x+y)^2. The three options that result in a perfect square trinomial are (x+3)^2, (2x-5)^2, and (4y+1)^2.

Step-by-step explanation:

A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In other words, the trinomial is the product of two identical binomials. To determine which products result in a perfect square trinomial, we need to identify the conditions where the binomial squared yields the trinomial.

The rule for a perfect square trinomial is:

x2+2xy+y2 = (x+y)2

Therefore, the three options that result in a perfect square trinomial are:

1. (x+3)2
2. (2x-5)2
3. (4y+1)2

Answer 2

(- x + 9)(- x - 9)

(x y + x)(x y + x)

(2 x - 3)(- 3 + 2 x)

(16 - x squared)(x squared - 16)

(4 y squared + 25)(25 + 4 y squared)

Step-by-step explanation: