Answer:
(x + 1) (x + 2) / 2
Explanation:
(x² − 4x − 5) / (x − 2) ÷ (2x − 10) / (x² − 4)
To divide by a fraction, multiply by its reciprocal.
(x² − 4x − 5) / (x − 2) × (x² − 4) / (2x − 10)
Factor.
(x − 5) (x + 1) / (x − 2) × (x − 2) (x + 2) / (2 (x − 5))
Reduce.
(x + 1) × (x + 2) / 2
(x + 1) (x + 2) / 2