Respuesta :

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

[tex]\dfrac{b-3a}{bc^{2}-d}=1[/tex]

Step-by-step explanation:

Evaluate:

[tex]\dfrac{b-3a}{bc^{2}-d}[/tex]

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

[tex]\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\[/tex]

[tex]\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1[/tex]

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

[tex]\dfrac{b-3a}{bc^{2}-d}=1[/tex]