Question

q squared plus eleven q plus twenty-four over q squared minus five q minus twenty-four

Answer 1

To simplify this expression, we can factor the numerator and denominator:

Numerator: q^2 + 11q + 24
This factors as (q + 8)(q + 3)

Denominator: q^2 - 5q - 24
This factors as (q - 8)(q + 3)

Therefore, the expression simplifies to:

(q + 8)(q + 3) / (q - 8)(q + 3)

Now, we can simplify further by cancelling out the common factor in the numerator and denominator:

= (q + 8) / (q - 8)