Simplify (5x-15)/(x^2-3x)

$\frac{5 x - 15}{x^{2} - 3 x}$

Step 1

Factor $5$ out of $5 x - 15$ .

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 15}{x^{2} - 3 x}$

Factor $5$ out of $- 15$ .

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

Factor $5$ out of $5 x + 5 \cdot - 3$ .

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

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

Step 2

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

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

$\frac{5 (x - 3)}{x \cdot x - 3 x}$

Factor $x$ out of $- 3 x$ .

$\frac{5 (x - 3)}{x \cdot x + x \cdot - 3}$

Factor $x$ out of $x \cdot x + x \cdot - 3$ .

$\frac{5 (x - 3)}{x (x - 3)}$

$\frac{5 (x - 3)}{x (x - 3)}$

Step 3

Cancel the common factor of $x - 3$ .

Cancel the common factor.

$\frac{5 (x - 3)}{x (x - 3)}$

Rewrite the expression.

$\frac{5}{x}$

$\frac{5}{x}$

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