Final answer:
To simplify the expression (x² + 10x + 16) / (2x² + 4x), factorize the numerator and denominator and cancel out the common factors.
Step-by-step explanation:
To simplify the expression (x² + 10x + 16) / (2x² + 4x), we first factorize the numerator and denominator. The numerator can be factored as (x + 8)(x + 2), and the denominator as 2x(x + 2). Now we can cancel out the common factors:
(x + 8)(x + 2) / 2x(x + 2)
After canceling out the common factor (x + 2), the simplified expression becomes:
(x + 8) / 2x