Basic Math Examples

$\frac{a^{2}}{2 (a - 1) (a - 3)} \cdot \frac{(a - 3) (a + 1)}{a}$

Step 1

Combine.

$\frac{a^{2} ((a - 3) (a + 1))}{2 (a - 1) (a - 3) a}$

Step 2

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

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Step 2.1

Factor $a$ out of $a^{2} ((a - 3) (a + 1))$ .

$\frac{a (a ((a - 3) (a + 1)))}{2 (a - 1) (a - 3) a}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a$ out of $2 (a - 1) (a - 3) a$ .

$\frac{a (a ((a - 3) (a + 1)))}{a (2 (a - 1) (a - 3))}$

Step 2.2.2

Cancel the common factor.

$\frac{a (a ((a - 3) (a + 1)))}{a (2 (a - 1) (a - 3))}$

Step 2.2.3

Rewrite the expression.

$\frac{a ((a - 3) (a + 1))}{2 (a - 1) (a - 3)}$

Step 3

Cancel the common factor of $a - 3$ .

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Step 3.1

Cancel the common factor.

$\frac{a ((a - 3) (a + 1))}{2 (a - 1) (a - 3)}$

Step 3.2

Rewrite the expression.

$\frac{a (a + 1)}{2 (a - 1)}$