Algebra Examples

$\frac{10}{2 a b^{2}} \cdot \frac{a^{2} b^{2}}{5}$

Step 1

Combine.

$\frac{10 (a^{2} b^{2})}{2 a b^{2} \cdot 5}$

Step 2

Cancel the common factor of $10$ and $2$ .

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Step 2.1

Factor $2$ out of $10 (a^{2} b^{2})$ .

$\frac{2 (5 (a^{2} b^{2}))}{2 a b^{2} \cdot 5}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 a b^{2} \cdot 5$ .

$\frac{2 (5 (a^{2} b^{2}))}{2 (a b^{2} \cdot 5)}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (5 (a^{2} b^{2}))}{2 (a b^{2} \cdot 5)}$

Step 2.2.3

Rewrite the expression.

$\frac{5 (a^{2} b^{2})}{a b^{2} \cdot 5}$

$\frac{5 (a^{2} b^{2})}{a b^{2} \cdot 5}$

$\frac{5 (a^{2} b^{2})}{a b^{2} \cdot 5}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$\frac{5 (a^{2} b^{2})}{a b^{2} \cdot 5}$

Step 3.2

Rewrite the expression.

$\frac{a^{2} b^{2}}{a b^{2}}$

$\frac{a^{2} b^{2}}{a b^{2}}$

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$a$

$a$

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