Question

Kylie explained that (-4x+9)^2 will result in a difference of squares because (-4x+9)^2 (-4x+9)^2 =(-4x)^2+(9)^2=16x^2+81

Answer 1

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:

$(a+b)^2 = a^2+2ab+b^2$

As per the statement:

Kylie explained that $(-4x+9)^2$ will result in a difference of squares i.e,

$(-4x+9)^2 =(-4x)^2+(9)^2=16x^2+81$

Using perfect square trinomial on $(-4x+9)^2$ is:

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

The correct product would be $16x^2-72x+81$

Therefore, Kylie did not understand that this is a perfect square trinomial , and she did not determined the product correctly.