Answer:
Kylie did not understand that this is a perfect square trinomial , and she did not determined the product correctly.
Step-by-step explanation:
Perfect square trinomial is given by:
[tex](a+b)^2 = a^2+2ab+b^2[/tex]
As per the statement:
Kylie explained that [tex](-4x+9)^2[/tex] will result in a difference of squares i.e,
[tex](-4x+9)^2 =(-4x)^2+(9)^2=16x^2+81[/tex]
Using perfect square trinomial on [tex](-4x+9)^2[/tex] is:
[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]
[tex](-4x+9)^2=16x^2-72x+81[/tex]
The correct product would be [tex]16x^2-72x+81[/tex]
Therefore, Kylie did not understand that this is a perfect square trinomial , and she did not determined the product correctly.
