Algebra Examples

$x^{2} - 5 x$ , $x^{- 2}$

Step 1

Multiply the expressions.

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

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 3

Multiply $x^{2} - 5 x$ by $\frac{1}{x^{2}}$ .

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Factor $x$ out of $- 5 x$ .

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

Step 4.3

Factor $x$ out of $x \cdot x + x \cdot - 5$ .

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

Step 5

Cancel the common factors.

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Step 5.1

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

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

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