Respuesta :

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

[tex]16x^2-36x+9[/tex]

 Observe that [tex]16x^2[/tex] and [tex]9[/tex] are perfect squares. Then, you can rewrite the polynomial in this form:

[tex](4x)^2-36x+(3)^2[/tex]

You can identify that:

[tex]A=4\\B=3[/tex]

Then, we can check if [tex]2AB=36[/tex]

 [tex]2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x[/tex]

Since [tex]2AB\neq36x[/tex], the polynomial [tex]16x^2-36x+9[/tex] IS NOT a perfect square trinomial of the form [tex]A^2 - 2AB + B^2[/tex]

Answer: B

Step-by-step explanation: