Simplify (2x^3-4x^2)/(2x)

$\frac{2 x^{3} - 4 x^{2}}{2 x}$

Step 1

Factor $2 x^{2}$ out of $2 x^{3} - 4 x^{2}$ .

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

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

Factor $2 x^{2}$ out of $- 4 x^{2}$ .

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

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

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x (x - 2)}{1}$

Divide $x (x - 2)$ by $1$ .

$x (x - 2)$

$x (x - 2)$

$x (x - 2)$

Step 4

Apply the distributive property.

$x \cdot x + x \cdot - 2$

Step 5

Simplify the expression.

Multiply $x$ by $x$ .

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

Move $- 2$ to the left of $x$ .

$x^{2} - 2 x$

$x^{2} - 2 x$

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