Final Answer:
The given expression, (x² + 11x + 10)/(x + 10), can be simplified to (x + 1) using factorization.
Step-by-step explanation:
Factor the numerator:
The numerator, x² + 11x + 10, can be factored as (x + 1)(x + 10) using common factoring techniques.
Divide both numerator and denominator by (x + 10):
Since the denominator also contains (x + 10), we can divide both the numerator and denominator by it. This results in:
(x² + 11x + 10) / (x + 10) = (x + 1)(x + 10) / (x + 10)
Simplify:
Canceling the common factor (x + 10) from both the numerator and denominator leaves us with:
(x + 1)(x + 10) / (x + 10) = x + 1
Therefore, the simplified form of the expression is x + 1.