Precalculus Examples

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

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

Step 1

Cancel the common factor of

$x^{2}$ and

$x$ .

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Step 1.1

Factor

$x$ out of

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

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$x$ out of

$x (x - 1) (x + 5)$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

Cancel the common factor of

$x - 1$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Cancel the common factor of

$x + 5$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide

$x$ by

$1$ .

$x$

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