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Which products result in a perfect square trinomial? Check all that apply.


A=(–x + 9)(–x – 9)

B=(xy + x)(xy + x)

C=(2x – 3)(–3 + 2x)

D=(16 – x2)(x2 – 16)

E=(4y2 + 25)(25 + 4y2)

Verified Answer :

The correct answers are:

B=(xy + x)(xy + x)
; C=(2x – 3)(–3 + 2x)
; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

stopscene

Answer:

A and E and C

Step-by-step explanation:

A perfect square trinomial can be written as the square of a binomial.

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