Precalculus Examples

$\frac{5 x^{3} + x^{2} - x}{3 x}$

Step 1

Factor $x$ out of $5 x^{3} + x^{2} - x$ .

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Step 1.1

Factor $x$ out of $5 x^{3}$ .

$\frac{x (5 x^{2}) + x^{2} - x}{3 x}$

Step 1.2

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

$\frac{x (5 x^{2}) + x \cdot x - x}{3 x}$

Step 1.3

Factor $x$ out of $- x$ .

$\frac{x (5 x^{2}) + x \cdot x + x \cdot - 1}{3 x}$

Step 1.4

Factor $x$ out of $x (5 x^{2}) + x \cdot x$ .

$\frac{x (5 x^{2} + x) + x \cdot - 1}{3 x}$

Step 1.5

Factor $x$ out of $x (5 x^{2} + x) + x \cdot - 1$ .

$\frac{x (5 x^{2} + x - 1)}{3 x}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\frac{x (5 x^{2} + x - 1)}{3 x}$

Step 2.2

Rewrite the expression.

$\frac{5 x^{2} + x - 1}{3}$