Basic Math Examples

$\frac{3 z^{3} + 12 z}{z^{4}}$

Step 1

Factor $3 z$ out of $3 z^{3} + 12 z$ .

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Step 1.1

Factor $3 z$ out of $3 z^{3}$ .

$\frac{3 z (z^{2}) + 12 z}{z^{4}}$

Step 1.2

Factor $3 z$ out of $12 z$ .

$\frac{3 z (z^{2}) + 3 z (4)}{z^{4}}$

Step 1.3

Factor $3 z$ out of $3 z (z^{2}) + 3 z (4)$ .

$\frac{3 z (z^{2} + 4)}{z^{4}}$

$\frac{3 z (z^{2} + 4)}{z^{4}}$

Step 2

Cancel the common factor of $z$ and $z^{4}$ .

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Step 2.1

Factor $z$ out of $3 z (z^{2} + 4)$ .

$\frac{z (3 (z^{2} + 4))}{z^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $z$ out of $z^{4}$ .

$\frac{z (3 (z^{2} + 4))}{z \cdot z^{3}}$

Step 2.2.2

Cancel the common factor.

$\frac{z (3 (z^{2} + 4))}{z \cdot z^{3}}$

Step 2.2.3

Rewrite the expression.

$\frac{3 (z^{2} + 4)}{z^{3}}$

$\frac{3 (z^{2} + 4)}{z^{3}}$

$\frac{3 (z^{2} + 4)}{z^{3}}$

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