Simplify (2x^4-10x^3)/(6x)

$\frac{2 x^{4} - 10 x^{3}}{6 x}$

Step 1

Factor $2 x^{3}$ out of $2 x^{4} - 10 x^{3}$ .

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

$\frac{2 x^{3} (x) - 10 x^{3}}{6 x}$

Factor $2 x^{3}$ out of $- 10 x^{3}$ .

$\frac{2 x^{3} (x) + 2 x^{3} (- 5)}{6 x}$

Factor $2 x^{3}$ out of $2 x^{3} (x) + 2 x^{3} (- 5)$ .

$\frac{2 x^{3} (x - 5)}{6 x}$

$\frac{2 x^{3} (x - 5)}{6 x}$

Step 2

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2 x^{3} (x - 5)$ .

$\frac{2 (x^{3} (x - 5))}{6 x}$

Cancel the common factors.

Factor $2$ out of $6 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $x^{3}$ and $x$ .

Factor $x$ out of $x^{3} (x - 5)$ .

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

Cancel the common factors.

Factor $x$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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