Algebra Examples

$\frac{27 x^{2} z^{6}}{- 3 x^{2} z}$

Step 1

Cancel the common factor of $27$ and $- 3$ .

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Step 1.1

Factor $3$ out of $27 x^{2} z^{6}$ .

$\frac{3 (9 x^{2} z^{6})}{- 3 x^{2} z}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

$\frac{3 (9 x^{2} z^{6})}{3 (- x^{2} z)}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (9 x^{2} z^{6})}{3 (- x^{2} z)}$

Step 1.2.3

Rewrite the expression.

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

Step 2

Cancel the common factor of $x^{2}$ .

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Step 2.1

Cancel the common factor.

$\frac{9 x^{2} z^{6}}{- x^{2} z}$

Step 2.2

Rewrite the expression.

$\frac{9 z^{6}}{- 1 z}$

$\frac{9 z^{6}}{- 1 z}$

Step 3

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

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Step 3.1

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

$\frac{z (9 z^{5})}{- 1 z}$

Step 3.2

Move the negative one from the denominator of $\frac{9 z^{5}}{- 1}$ .

$- 1 \cdot (9 z^{5})$

$- 1 \cdot (9 z^{5})$

Step 4

Simplify the expression.

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Step 4.1

Rewrite $- 1 \cdot (9 z^{5})$ as $- (9 z^{5})$ .

$- (9 z^{5})$

Step 4.2

Multiply $9$ by $- 1$ .

$- 9 z^{5}$

$- 9 z^{5}$

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