Pre-Algebra Examples

$\frac{t^{2} - 6}{t}$

Step 1

Split the fraction $\frac{t^{2} - 6}{t}$ into two fractions.

$\frac{t^{2}}{t} + \frac{- 6}{t}$

Step 2

Cancel the common factor of $t^{2}$ and $t$ .

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Step 2.1

Factor $t$ out of $t^{2}$ .

$\frac{t \cdot t}{t} + \frac{- 6}{t}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Raise $t$ to the power of $1$ .

$\frac{t \cdot t}{t^{1}} + \frac{- 6}{t}$

Step 2.2.2

Factor $t$ out of $t^{1}$ .

$\frac{t \cdot t}{t \cdot 1} + \frac{- 6}{t}$

Step 2.2.3

Cancel the common factor.

$\frac{t \cdot t}{t \cdot 1} + \frac{- 6}{t}$

Step 2.2.4

Rewrite the expression.

$\frac{t}{1} + \frac{- 6}{t}$

Step 2.2.5

Divide $t$ by $1$ .

$t + \frac{- 6}{t}$

Step 3

Move the negative in front of the fraction.

$t - \frac{6}{t}$