Final answer:
To find the LCD for the list of rational expressions, factor each expression completely and identify the common factors.
Step-by-step explanation:
To find the LCD (Least Common Denominator) for the list of rational expressions, we need to factor each expression completely and then identify the common factors. Here are the given expressions:
A. (t + 1)(t - 1)
B. (t - 1)²
C. t² - 1
D. t² + 1
To find the LCD, we need to consider the highest power of each factor. The LCD will be the product of all the factors with their highest powers. We can see that the common factors are (t + 1), (t - 1), and (t² + 1).
The LCD in fully factored form is (t + 1)(t - 1)(t² + 1).