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).