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:
-72x is missing in Kylie's work
Step-by-step 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