Algebra Examples

$\frac{4}{3 x^{3}} \cdot \frac{7 x^{2}}{3}$

Step 1

Simplify terms.

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Step 1.1

Combine.

$\frac{4 (7 x^{2})}{3 x^{3} \cdot 3}$

Step 1.2

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

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Step 1.2.1

Factor $x^{2}$ out of $4 (7 x^{2})$ .

$\frac{x^{2} (4 \cdot (7))}{3 x^{3} \cdot 3}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

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

$\frac{x^{2} (4 \cdot (7))}{x^{2} (3 x \cdot 3)}$

Step 1.2.2.2

Cancel the common factor.

$\frac{x^{2} (4 \cdot (7))}{x^{2} (3 x \cdot 3)}$

Step 1.2.2.3

Rewrite the expression.

$\frac{4 \cdot (7)}{3 x \cdot 3}$

$\frac{4 \cdot (7)}{3 x \cdot 3}$

$\frac{4 \cdot (7)}{3 x \cdot 3}$

$\frac{4 \cdot (7)}{3 x \cdot 3}$

Step 2

Multiply $4$ by $7$ .

$\frac{28}{3 x \cdot 3}$

Step 3

Multiply $3$ by $3$ .

$\frac{28}{9 x}$

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