Solve f(t)=-2t^4/t^5+t^2

$$f ( t ) = \frac { - 2 t ^ { 4 } } { t ^ { 5 } } + t ^ { 2 }$$

Evaluate

$$\frac{t^{3}-2}{t}$$

Short Solution Steps

Cancel out t^{4} in both numerator and denominator.

$$\frac{-2}{t}+t^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply t^{2} times \frac{t}{t}.

$$\frac{-2}{t}+\frac{t^{2}t}{t}$$

Since \frac{-2}{t} and \frac{t^{2}t}{t} have the same denominator, add them by adding their numerators.

$$\frac{-2+t^{2}t}{t}$$

Do the multiplications in -2+t^{2}t.

$$\frac{-2+t^{3}}{t}$$

Factor

$$\frac{t^{3}-2}{t}$$