Algebra Examples

$\frac{4 x^{4} - x^{3}}{8 x - 2}$

Step 1

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

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Step 1.1

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

$\frac{x^{3} (4 x) - x^{3}}{8 x - 2}$

Step 1.2

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

$\frac{x^{3} (4 x) + x^{3} \cdot - 1}{8 x - 2}$

Step 1.3

Factor $x^{3}$ out of $x^{3} (4 x) + x^{3} \cdot - 1$ .

$\frac{x^{3} (4 x - 1)}{8 x - 2}$

$\frac{x^{3} (4 x - 1)}{8 x - 2}$

Step 2

Factor $2$ out of $8 x - 2$ .

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Step 2.1

Factor $2$ out of $8 x$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x) - 2}$

Step 2.2

Factor $2$ out of $- 2$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x) + 2 (- 1)}$

Step 2.3

Factor $2$ out of $2 (4 x) + 2 (- 1)$ .

$\frac{x^{3} (4 x - 1)}{2 (4 x - 1)}$

$\frac{x^{3} (4 x - 1)}{2 (4 x - 1)}$

Step 3

Cancel the common factor of $4 x - 1$ .

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Step 3.1

Cancel the common factor.

$\frac{x^{3} (4 x - 1)}{2 (4 x - 1)}$

Step 3.2

Rewrite the expression.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$