Algebra Examples

$\frac{4 x}{a b} \cdot \frac{a^{2} b}{2 x^{2}}$

Step 1

Combine.

$\frac{4 x (a^{2} b)}{a b (2 x^{2})}$

Step 2

Cancel the common factor of $4$ and $2$ .

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Step 2.1

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

$\frac{2 (2 x (a^{2} b))}{a b (2 x^{2})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $a b (2 x^{2})$ .

$\frac{2 (2 x (a^{2} b))}{2 (a b (x^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 x (a^{2} b))}{2 (a b (x^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x (a^{2} b)}{a b (x^{2})}$

$\frac{2 x (a^{2} b)}{a b (x^{2})}$

$\frac{2 x (a^{2} b)}{a b (x^{2})}$

Step 3

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

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Step 3.1

Factor $x$ out of $2 x (a^{2} b)$ .

$\frac{x (2 (a^{2} b))}{a b (x^{2})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $a b (x^{2})$ .

$\frac{x (2 (a^{2} b))}{x (a b (x))}$

Step 3.2.2

Cancel the common factor.

$\frac{x (2 (a^{2} b))}{x (a b (x))}$

Step 3.2.3

Rewrite the expression.

$\frac{2 (a^{2} b)}{a b (x)}$

$\frac{2 (a^{2} b)}{a b (x)}$

$\frac{2 (a^{2} b)}{a b (x)}$

Step 4

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

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Step 4.1

Factor $a$ out of $2 (a^{2} b)$ .

$\frac{a (2 (a b))}{a b (x)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $a$ out of $a b (x)$ .

$\frac{a (2 (a b))}{a (b (x))}$

Step 4.2.2

Cancel the common factor.

$\frac{a (2 (a b))}{a (b (x))}$

Step 4.2.3

Rewrite the expression.

$\frac{2 (a b)}{b (x)}$

$\frac{2 (a b)}{b (x)}$

$\frac{2 (a b)}{b (x)}$

Step 5

Cancel the common factor of $b$ .

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Step 5.1

Cancel the common factor.

$\frac{2 (a b)}{b x}$

Step 5.2

Rewrite the expression.

$\frac{2 (a)}{x}$

$\frac{2 a}{x}$

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