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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?

Verified Answer :

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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