Question

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

Answer 1

Answer: r - 24

Step-by-step explanation:

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

$\frac{x*y-z}{x}$

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

$\frac{(2r^2-9r+4r-18)-(r^2+17r+30)}{r+2}$

$\frac{(2r^2-5r-18)-(r^2+17r+30)}{r+2}$

$\frac{2r^2-5r-18-r^2-17r-30)}{r+2}$

Combine like terms;

$\frac{r^2-22r-48}{r+2}$

Solve the quadratic equation;

$\frac{(r-24)(r+2)}{r+2}$

Simplify;

$r-24$