Answer:
To find the least common denominator (LCD) of two fractions, we need to find the least common multiple of the denominators of the fractions. The first fraction is 17x / (x + 1)(x + 1), and the second fraction is x² / x² - 1. The denominators of these fractions are (x + 1)(x + 1) and x² - 1, respectively.
To find the least common multiple of (x + 1)(x + 1) and x² - 1, we need to first factor each denominator. The denominator (x + 1)(x + 1) can be factored as (x + 1)², and the denominator x² - 1 can be factored as (x + 1)(x - 1). The least common multiple of these two denominators is (x + 1)², which is the LCD of the two fractions. Therefore, the LCD of 17x / (x + 1)(x + 1) and x² / x² - 1 is (x + 1)².
Explanation: