Pre-Algebra Examples

$\frac{6 x^{3} - 23 x^{2} + 16 x - 3}{3}$

Step 1

Split the fraction $\frac{6 x^{3} - 23 x^{2} + 16 x - 3}{3}$ into two fractions.

$\frac{6 x^{3} - 23 x^{2} + 16 x}{3} + \frac{- 3}{3}$

Step 2

Split the fraction $\frac{6 x^{3} - 23 x^{2} + 16 x}{3}$ into two fractions.

$\frac{6 x^{3} - 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 3

Split the fraction $\frac{6 x^{3} - 23 x^{2}}{3}$ into two fractions.

$\frac{6 x^{3}}{3} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 4

Cancel the common factor of $6$ and $3$ .

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Step 4.1

Factor $3$ out of $6 x^{3}$ .

$\frac{3 (2 x^{3})}{3} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3$ .

$\frac{3 (2 x^{3})}{3 (1)} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (2 x^{3})}{3 \cdot 1} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 4.2.3

Rewrite the expression.

$\frac{2 x^{3}}{1} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 4.2.4

Divide $2 x^{3}$ by $1$ .

$2 x^{3} + \frac{- 23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 5

Move the negative in front of the fraction.

$2 x^{3} - \frac{23 x^{2}}{3} + \frac{16 x}{3} + \frac{- 3}{3}$

Step 6

Divide $- 3$ by $3$ .

$2 x^{3} - \frac{23 x^{2}}{3} + \frac{16 x}{3} - 1$