which is equivalent to (4xy - 3z)^2, and what type of special product is it?\n16x^2y^2 + 9z^2, the…

which is equivalent to (4xy - 3z)^2, and what type of special product is it?\n16x^2y^2 + 9z^2, the difference of squares\n16x^2y^2 + 9z^2, a perfect square trinomial\n16x^2y^2 - 24xyz + 9z^2, the difference of squares\n16x^2y^2 - 24xyz + 9z^2, a perfect square trinomial

which is equivalent to (4xy - 3z)^2, and what type of special product is it?\n16x^2y^2 + 9z^2, the difference of squares\n16x^2y^2 + 9z^2, a perfect square trinomial\n16x^2y^2 - 24xyz + 9z^2, the difference of squares\n16x^2y^2 - 24xyz + 9z^2, a perfect square trinomial

Answer

Explanation:

Step1: Appliquer la formule du carré d'une différence

La formule du carré d'une différence est ((a - b)^2=a^{2}-2ab + b^{2}). Ici, (a = 4xy) et (b=3z).

Step2: Calculer (a^{2}), (2ab) et (b^{2})

(a^{2}=(4xy)^{2}=16x^{2}y^{2}), (2ab = 2\times(4xy)\times(3z)=24xyz) et (b^{2}=(3z)^{2}=9z^{2}). Donc ((4xy - 3z)^{2}=16x^{2}y^{2}-24xyz + 9z^{2}). Un trinôme du type (a^{2}-2ab + b^{2}) est un carré parfait trinomial.

Answer:

D. (16x^{2}y^{2}-24xyz + 9z^{2}), a perfect square trinomial