Basic Math Examples

$\frac{z^{6}}{z + 2} \cdot \frac{7 z + 14}{z^{9}}$

Step 1

Factor $7$ out of $7 z + 14$ .

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Step 1.1

Factor $7$ out of $7 z$ .

$\frac{z^{6}}{z + 2} \cdot \frac{7 (z) + 14}{z^{9}}$

Step 1.2

Factor $7$ out of $14$ .

$\frac{z^{6}}{z + 2} \cdot \frac{7 z + 7 \cdot 2}{z^{9}}$

Step 1.3

Factor $7$ out of $7 z + 7 \cdot 2$ .

$\frac{z^{6}}{z + 2} \cdot \frac{7 (z + 2)}{z^{9}}$

Step 2

Cancel the common factor of $z^{6}$ .

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Step 2.1

Factor $z^{6}$ out of $z^{9}$ .

$\frac{z^{6}}{z + 2} \cdot \frac{7 (z + 2)}{z^{6} z^{3}}$

Step 2.2

Cancel the common factor.

$\frac{z^{6}}{z + 2} \cdot \frac{7 (z + 2)}{z^{6} z^{3}}$

Step 2.3

Rewrite the expression.

$\frac{1}{z + 2} \cdot \frac{7 (z + 2)}{z^{3}}$

Step 3

Cancel the common factor of $z + 2$ .

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Step 3.1

Factor $z + 2$ out of $7 (z + 2)$ .

$\frac{1}{z + 2} \cdot \frac{(z + 2) \cdot 7}{z^{3}}$

Step 3.2

Cancel the common factor.

$\frac{1}{z + 2} \cdot \frac{(z + 2) \cdot 7}{z^{3}}$

Step 3.3

Rewrite the expression.

$\frac{7}{z^{3}}$