Answer:
Step-by-step explanation:
The given rational expression is:
[tex]\frac{q^2+11q+24}{q^2-5q-24}[/tex]
On solving the above expression, we get
=[tex]\frac{q^2+8q+3q+24}{q^2-8q+3q-24}[/tex]
=[tex]\frac{q(q+8)+3(q+8)}{q(q-8)+3(q-8)}[/tex]
=[tex]\frac{(q+3)(q+8)}{(q+3)(q-8)}[/tex]
=[tex]\frac{q+8}{q-8}[/tex]
which is the required simplified expression.
