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

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

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.