Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Raise $x$ to the power of $1$ .

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

Step 2.2.2

Factor $x$ out of $x^{1}$ .

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

Step 2.2.3

Cancel the common factor.

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

Step 2.2.4

Rewrite the expression.

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

Step 2.2.5

Divide $x (x - 5)$ by $1$ .

$x (x - 5)$

$x (x - 5)$

$x (x - 5)$

Step 3

Apply the distributive property.

$x \cdot x + x \cdot - 5$

Step 4

Multiply $x$ by $x$ .

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

Step 5

Move $- 5$ to the left of $x$ .

$x^{2} - 5 x$

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