ethantofr
ethantofr ethantofr
  • 12-05-2020
  • Mathematics
contestada

Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.

Respuesta :

ItzMikeSS
ItzMikeSS ItzMikeSS
  • 12-05-2020

Answer: r - 24

Step-by-step explanation:

[tex]X=r+2;Y=2r-9;Z=r^2+17x+30[/tex]

[tex]\frac{x*y-z}{x}[/tex]

[tex]\frac{[(r+2)(2r-9)]-(r^2+17r+30)}{r+2}[/tex]

[tex]\frac{(2r^2-9r+4r-18)-(r^2+17r+30)}{r+2}[/tex]

[tex]\frac{(2r^2-5r-18)-(r^2+17r+30)}{r+2}[/tex]

[tex]\frac{2r^2-5r-18-r^2-17r-30)}{r+2}[/tex]

Combine like terms;

[tex]\frac{r^2-22r-48}{r+2}[/tex]

Solve the quadratic equation;

[tex]\frac{(r-24)(r+2)}{r+2}[/tex]

Simplify;

[tex]r-24[/tex]

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