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