Simplify (x^4+6x^3)/(8x)

$\frac{x^{4} + 6 x^{3}}{8 x}$

Step 1

Factor $x^{3}$ out of $x^{4} + 6 x^{3}$ .

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

$\frac{x^{3} x + 6 x^{3}}{8 x}$

Factor $x^{3}$ out of $6 x^{3}$ .

$\frac{x^{3} x + x^{3} \cdot 6}{8 x}$

Factor $x^{3}$ out of $x^{3} x + x^{3} \cdot 6$ .

$\frac{x^{3} (x + 6)}{8 x}$

$\frac{x^{3} (x + 6)}{8 x}$

Step 2

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

Factor $x$ out of $x^{3} (x + 6)$ .

$\frac{x (x^{2} (x + 6))}{8 x}$

Cancel the common factors.

Factor $x$ out of $8 x$ .

$\frac{x (x^{2} (x + 6))}{x \cdot 8}$

Cancel the common factor.

$\frac{x (x^{2} (x + 6))}{x \cdot 8}$

Rewrite the expression.

$\frac{x^{2} (x + 6)}{8}$

$\frac{x^{2} (x + 6)}{8}$

$\frac{x^{2} (x + 6)}{8}$

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