7. All of the following are perfect square trinomials EXCEPT one. Which is it? A. 4x2 + 12xy + 9y2
C. xy2 - 4x2y2 + 4x2y2
B. 9a? - 36a + 36
D. a²b2 + 4a3b + 4a?

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

,

Let prove if each option observe this:

a)

1) Given

2) Definition of power/Distributive, associative and commutative properties.

3) , Definition of perfect square trinomial/Result.

b)

1) Given.

2) Definition of power/Distributive, associative and commutative properties.

3) , Definition of perfect square trinomial/Result.

c)

1) Given

2) Distributive property.

3) Existence of the additive inverse/Modulative property.

4) Modulative property/Result.

d)

1) Given

2) Definition of power/Distributive, associative and commutative properties.

3) , Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.