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Precalculus Examples

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

Step 1

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

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Step 1.1

Factor $x$ out of $x^{2} (x - 1)$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x$ out of $x (x - 1) (x + 5)$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $x - 1$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$\frac{x}{x + 5}$

$\frac{x}{x + 5}$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$