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

kylie explained that (-4x + 9)^2 will result in a difference of squares because (-4x + 9)^2=(-4x)^2+(9)^2 = 16x^2+81. which statement best describes kylies explanation?\nkylie is correct.\nkylie correctly understood that it is a difference of squares, but she did not determine the product correctly.\nkylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.\nkylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

kylie explained that (-4x + 9)^2 will result in a difference of squares because (-4x + 9)^2=(-4x)^2+(9)^2 = 16x^2+81. which statement best describes kylies explanation?\nkylie is correct.\nkylie correctly understood that it is a difference of squares, but she did not determine the product correctly.\nkylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.\nkylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answer

Explanation:

Step1: Rappel de la formule du carré d'un binôme

$(a + b)^2=a^{2}+2ab + b^{2}$. Ici, $a=-4x$ et $b = 9$, donc $(-4x + 9)^2=(-4x)^{2}+2\times(-4x)\times9+9^{2}$.

Step2: Calcul du résultat

$(-4x)^{2}+2\times(-4x)\times9+9^{2}=16x^{2}-72x + 81$. Cela est un trinôme carré parfait. Une différence de carrés a la forme $a^{2}-b^{2}$. Kylie a mal compris le concept.

Answer:

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