Answer:
[tex](r-24)[/tex]
Step-by-step explanation:
[tex]X=r+2[/tex]
[tex]Y=2r-9[/tex]
[tex]Z=r^2+17r+30[/tex]
Let us find
X.Y-Z
[tex](r+2)(2r-9)-(r^2+17r+30)[/tex]
[tex](2r^2-9r+4r-18)-(r^2+17r+30)[/tex]
[tex]2r^2-r^2-5r-17r-18-30[/tex]
[tex]r^2-22r-48[/tex]
[tex]r^2-24r+2r-48[/tex]
[tex]r(r-24)+2(r-24)[/tex]
[tex](r-24)(r+2)[/tex]
Now we divide it by X i.e. (r+2)
[X.Y-Z]÷X
[tex]\frac{(r-24)(r+2)}{(r+2)}[/tex]
[tex]=(r-24)[/tex]
