Finite Math Examples

$\frac{30 x^{6} + 18 x^{4} + 18 x^{2}}{6 x^{4}}$

Step 1

Factor $6 x^{2}$ out of $30 x^{6} + 18 x^{4} + 18 x^{2}$ .

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Step 1.1

Factor $6 x^{2}$ out of $30 x^{6}$ .

$\frac{6 x^{2} (5 x^{4}) + 18 x^{4} + 18 x^{2}}{6 x^{4}}$

Step 1.2

Factor $6 x^{2}$ out of $18 x^{4}$ .

$\frac{6 x^{2} (5 x^{4}) + 6 x^{2} (3 x^{2}) + 18 x^{2}}{6 x^{4}}$

Step 1.3

Factor $6 x^{2}$ out of $18 x^{2}$ .

$\frac{6 x^{2} (5 x^{4}) + 6 x^{2} (3 x^{2}) + 6 x^{2} (3)}{6 x^{4}}$

Step 1.4

Factor $6 x^{2}$ out of $6 x^{2} (5 x^{4}) + 6 x^{2} (3 x^{2})$ .

$\frac{6 x^{2} (5 x^{4} + 3 x^{2}) + 6 x^{2} (3)}{6 x^{4}}$

Step 1.5

Factor $6 x^{2}$ out of $6 x^{2} (5 x^{4} + 3 x^{2}) + 6 x^{2} (3)$ .

$\frac{6 x^{2} (5 x^{4} + 3 x^{2} + 3)}{6 x^{4}}$

Step 2

Cancel the common factor of $6$ .

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Step 2.1

Cancel the common factor.

$\frac{6 x^{2} (5 x^{4} + 3 x^{2} + 3)}{6 x^{4}}$

Step 2.2

Rewrite the expression.

$\frac{x^{2} (5 x^{4} + 3 x^{2} + 3)}{x^{4}}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $x^{2}$ out of $x^{4}$ .

$\frac{x^{2} (5 x^{4} + 3 x^{2} + 3)}{x^{2} x^{2}}$

Step 3.2

Cancel the common factor.

$\frac{x^{2} (5 x^{4} + 3 x^{2} + 3)}{x^{2} x^{2}}$

Step 3.3

Rewrite the expression.

$\frac{5 x^{4} + 3 x^{2} + 3}{x^{2}}$