Algebra Examples

$\frac{- 15 x^{6} y^{5} z}{- 3 x^{5} y^{3}}$

Step 1

Cancel the common factor of $- 15$ and $- 3$ .

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Step 1.1

Factor $- 3$ out of $- 15 x^{6} y^{5} z$ .

$\frac{- 3 (5 x^{6} y^{5} z)}{- 3 x^{5} y^{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $- 3$ out of $- 3 x^{5} y^{3}$ .

$\frac{- 3 (5 x^{6} y^{5} z)}{- 3 (x^{5} y^{3})}$

Step 1.2.2

Cancel the common factor.

$\frac{- 3 (5 x^{6} y^{5} z)}{- 3 (x^{5} y^{3})}$

Step 1.2.3

Rewrite the expression.

$\frac{5 x^{6} y^{5} z}{x^{5} y^{3}}$

$\frac{5 x^{6} y^{5} z}{x^{5} y^{3}}$

$\frac{5 x^{6} y^{5} z}{x^{5} y^{3}}$

Step 2

Cancel the common factor of $x^{6}$ and $x^{5}$ .

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Step 2.1

Factor $x^{5}$ out of $5 x^{6} y^{5} z$ .

$\frac{x^{5} (5 x y^{5} z)}{x^{5} y^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x^{5}$ out of $x^{5} y^{3}$ .

$\frac{x^{5} (5 x y^{5} z)}{x^{5} (y^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{5} (5 x y^{5} z)}{x^{5} y^{3}}$

Step 2.2.3

Rewrite the expression.

$\frac{5 x y^{5} z}{y^{3}}$

$\frac{5 x y^{5} z}{y^{3}}$

$\frac{5 x y^{5} z}{y^{3}}$

Step 3

Cancel the common factor of $y^{5}$ and $y^{3}$ .

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Step 3.1

Factor $y^{3}$ out of $5 x y^{5} z$ .

$\frac{y^{3} (5 x y^{2} z)}{y^{3}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{y^{3} (5 x y^{2} z)}{y^{3} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{3} (5 x y^{2} z)}{y^{3} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{5 x y^{2} z}{1}$

Step 3.2.4

Divide $5 x y^{2} z$ by $1$ .

$5 x y^{2} z$

$5 x y^{2} z$

$5 x y^{2} z$

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