Basic Math Examples

$\frac{3 n^{2} - 12 n}{2 n^{3} - 9 n^{2}}$

Step 1

Factor $3 n$ out of $3 n^{2} - 12 n$ .

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Step 1.1

Factor $3 n$ out of $3 n^{2}$ .

$\frac{3 n (n) - 12 n}{2 n^{3} - 9 n^{2}}$

Step 1.2

Factor $3 n$ out of $- 12 n$ .

$\frac{3 n (n) + 3 n (- 4)}{2 n^{3} - 9 n^{2}}$

Step 1.3

Factor $3 n$ out of $3 n (n) + 3 n (- 4)$ .

$\frac{3 n (n - 4)}{2 n^{3} - 9 n^{2}}$

Step 2

Factor $n^{2}$ out of $2 n^{3} - 9 n^{2}$ .

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Step 2.1

Factor $n^{2}$ out of $2 n^{3}$ .

$\frac{3 n (n - 4)}{n^{2} (2 n) - 9 n^{2}}$

Step 2.2

Factor $n^{2}$ out of $- 9 n^{2}$ .

$\frac{3 n (n - 4)}{n^{2} (2 n) + n^{2} \cdot - 9}$

Step 2.3

Factor $n^{2}$ out of $n^{2} (2 n) + n^{2} \cdot - 9$ .

$\frac{3 n (n - 4)}{n^{2} (2 n - 9)}$

Step 3

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

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Step 3.1

Factor $n$ out of $3 n (n - 4)$ .

$\frac{n (3 (n - 4))}{n^{2} (2 n - 9)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $n$ out of $n^{2} (2 n - 9)$ .

$\frac{n (3 (n - 4))}{n (n (2 n - 9))}$

Step 3.2.2

Cancel the common factor.

$\frac{n (3 (n - 4))}{n (n (2 n - 9))}$

Step 3.2.3

Rewrite the expression.

$\frac{3 (n - 4)}{n (2 n - 9)}$