QuestionSimplify the expression $\frac{10 t^{2}-t}{5 t}$ .

Studdy Solution

STEP 1

Assumptions1. The given rational expression is $\frac{10 t^{}-t}{5 t}$ . . We are asked to simplify this expression.

STEP 2

The first step in simplifying a rational expression is to factorize the numerator and the denominator, if possible. In this case, we can factor out a $t$ from the numerator.
$\frac{10 t^{2}-t}{5 t} = \frac{t(10t -1)}{5 t}$

STEP 3

Now, we can cancel out the common factor $t$ from the numerator and the denominator.
$\frac{t(10t -1)}{5 t} = \frac{10t -1}{5}$ The rational expression has been simplified to $\frac{10t -1}{5}$ .

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