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t^{2}-2t-\frac{3}{t}
Combine -3t and 1t to get -2t.
\frac{\left(t^{2}-2t\right)t}{t}-\frac{3}{t}
To add or subtract expressions, expand them to make their denominators the same. Multiply t^{2}-2t times \frac{t}{t}.
\frac{\left(t^{2}-2t\right)t-3}{t}
Since \frac{\left(t^{2}-2t\right)t}{t} and \frac{3}{t} have the same denominator, subtract them by subtracting their numerators.
\frac{t^{3}-2t^{2}-3}{t}
Do the multiplications in \left(t^{2}-2t\right)t-3.