Algebra Examples

$(4 x^{3}) \div (2 x)$

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $4$ and $2$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 x$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

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

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

Step 3.2.3

Cancel the common factor.

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

Step 3.2.4

Rewrite the expression.

$\frac{2 x^{2}}{1}$

Step 3.2.5

Divide $2 x^{2}$ by $1$ .

$2 x^{2}$

$2 x^{2}$

$2 x^{2}$

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