Question

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

Answer 1

Answer: r - 24

Explanation:

`X=r+2;Y=2r-9;Z=r^2+17x+30`

`(x*y-z)/(x)`

`([(r+2)(2r-9)]-(r^2+17r+30))/(r+2)`

`((2r^2-9r+4r-18)-(r^2+17r+30))/(r+2)`

`((2r^2-5r-18)-(r^2+17r+30))/(r+2)`

`(2r^2-5r-18-r^2-17r-30))/(r+2)`

Combine like terms;

`(r^2-22r-48)/(r+2)`

Solve the quadratic equation;

`((r-24)(r+2))/(r+2)`

Simplify;

`r-24`