Simplify (4x-8)/(x^2-2x)

$\frac{4 x - 8}{x^{2} - 2 x}$

Step 1

Factor $4$ out of $4 x - 8$ .

Factor $4$ out of $4 x$ .

$\frac{4 (x) - 8}{x^{2} - 2 x}$

Factor $4$ out of $- 8$ .

$\frac{4 x + 4 \cdot - 2}{x^{2} - 2 x}$

Factor $4$ out of $4 x + 4 \cdot - 2$ .

$\frac{4 (x - 2)}{x^{2} - 2 x}$

$\frac{4 (x - 2)}{x^{2} - 2 x}$

Step 2

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

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

$\frac{4 (x - 2)}{x \cdot x - 2 x}$

Factor $x$ out of $- 2 x$ .

$\frac{4 (x - 2)}{x \cdot x + x \cdot - 2}$

Factor $x$ out of $x \cdot x + x \cdot - 2$ .

$\frac{4 (x - 2)}{x (x - 2)}$

$\frac{4 (x - 2)}{x (x - 2)}$

Step 3

Cancel the common factor of $x - 2$ .

Cancel the common factor.

$\frac{4 (x - 2)}{x (x - 2)}$

Rewrite the expression.

$\frac{4}{x}$

$\frac{4}{x}$

Related Questions