Answer:
(2 x + 1)/(x^2 + 1)
Step-by-step explanation:
Simplify the following:
(x - 2)/(x^2 + 1) + (x + 3)/(x^2 + 1)
(x - 2)/(x^2 + 1) + (x + 3)/(x^2 + 1) = ((x + 3) + (x - 2))/(x^2 + 1):
(x + x - 2 + 3)/(x^2 + 1)
Grouping like terms, x + x - 2 + 3 = (x + x) + (-2 + 3):
((x + x) + (-2 + 3))/(x^2 + 1)
x + x = 2 x:
(2 x + (-2 + 3))/(x^2 + 1)
3 - 2 = 1:
Answer: (2 x + 1)/(x^2 + 1)
