Algebra Examples

$\frac{5}{7 x^{2}} \cdot \frac{9 x^{3}}{6}$

Step 1

Combine.

$\frac{5 (9 x^{3})}{7 x^{2} \cdot 6}$

Step 2

Cancel the common factor of $9$ and $6$ .

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Step 2.1

Factor $3$ out of $5 (9 x^{3})$ .

$\frac{3 (5 (3 x^{3}))}{7 x^{2} \cdot 6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $7 x^{2} \cdot 6$ .

$\frac{3 (5 (3 x^{3}))}{3 (7 x^{2} \cdot 2)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (5 (3 x^{3}))}{3 (7 x^{2} \cdot 2)}$

Step 2.2.3

Rewrite the expression.

$\frac{5 (3 x^{3})}{7 x^{2} \cdot 2}$

$\frac{5 (3 x^{3})}{7 x^{2} \cdot 2}$

$\frac{5 (3 x^{3})}{7 x^{2} \cdot 2}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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Step 3.1

Factor $x^{2}$ out of $5 (3 x^{3})$ .

$\frac{x^{2} (5 (3 x))}{7 x^{2} \cdot 2}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{2}$ out of $7 x^{2} \cdot 2$ .

$\frac{x^{2} (5 (3 x))}{x^{2} (7 \cdot 2)}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{2} (5 (3 x))}{x^{2} (7 \cdot 2)}$

Step 3.2.3

Rewrite the expression.

$\frac{5 (3 x)}{7 \cdot 2}$

$\frac{5 (3 x)}{7 \cdot 2}$

$\frac{5 (3 x)}{7 \cdot 2}$

Step 4

Multiply.

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Step 4.1

Multiply $5$ by $3$ .

$\frac{15 x}{7 \cdot 2}$

Step 4.2

Multiply $7$ by $2$ .

$\frac{15 x}{14}$

$\frac{15 x}{14}$

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