simplify

7-t/t^2+1 - t-2/t^2+1

To simplify the expression (7 - t) / (t^2 + 1) - (t - 2) / (t^2 + 1), we can follow these steps:

Step 1: Find a common denominator for both fractions. In this case, the denominator is already the same, which is (t^2 + 1).

Step 2: Combine the numerators over the common denominator.

((7 - t) - (t - 2)) / (t^2 + 1)

Step 3: Simplify the numerators.

(7 - t - t + 2) / (t^2 + 1)

(9 - 2t) / (t^2 + 1)

Thus, the simplified form of the expression is (9 - 2t) / (t^2 + 1).