Question

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which statement best describes Kylie’s explanation?

Answer 1

I hope this helps you

Answer 2

-72x is missing in Kylie's work

Explanation:

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

LEts expand
`(-4x + 9)^2` and check

`(-4x + 9)(-4x+9)`

Apply FOIL method to multiply it

`16x^2-36x -36x+81`

Combine like terms

`16x^2-72x+81`

The final expression will not result in difference of squares

Because we are multiplying the same terms

-72x is missing in Kylie's work