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The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

2a2 – 5a – 2
3a3 – 6a2 – 2
–3a3 – 2
–3a2 – 2

Respuesta :

TaeKwonDoIsDead

Answer:

[tex]3a^3-6a^2-2[/tex]

Step-by-step explanation:

Given

  • [tex]x=a[/tex]
  • [tex]y=3a-5[/tex]
  • [tex]z=a^2+2[/tex]

We need to find the expression for [tex]x^2y-z[/tex] in simplest form. Hence we plug in the substitutions into the expression and simplify:

[tex]x^2y-z\\=(a)^{2}(3a-5)-(a^2+2)\\=3a^3-5a^2-a^2-2\\=3a^3-6a^2-2[/tex]

2nd answer choice is right.

Answer:

(B) 3a3 – 6a2 – 2

Step-by-step explanation:

edg :)