Precalculus Examples

$\frac{x - 7}{x^{2} - 7 x}$

Step 1

Factor $x$ out of $x^{2} - 7 x$ .

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

$\frac{x - 7}{x \cdot x - 7 x}$

Factor $x$ out of $- 7 x$ .

$\frac{x - 7}{x \cdot x + x \cdot - 7}$

Factor $x$ out of $x \cdot x + x \cdot - 7$ .

$\frac{x - 7}{x (x - 7)}$

Step 2

Reduce the expression $\frac{x - 7}{x (x - 7)}$ by cancelling the common factors.

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Cancel the common factor.

$\frac{x - 7}{x (x - 7)}$

Rewrite the expression.

$\frac{1}{x}$

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