Calculus Examples

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

Step 1

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

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Step 1.1

Factor $x^{2}$ out of $x^{3}$ .

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

Step 1.2

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

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

Step 1.3

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

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

Step 2

Cancel the common factor of $x - 5$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

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

$x^{2}$