Finite Math Examples

$f (x) = \frac{7 x^{4} - 14 x^{2}}{6 x^{2} + 3}$

Step 1

Factor $7 x^{2}$ out of $7 x^{4} - 14 x^{2}$ .

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Step 1.1

Factor $7 x^{2}$ out of $7 x^{4}$ .

$f (x) = \frac{7 x^{2} (x^{2}) - 14 x^{2}}{6 x^{2} + 3}$

Step 1.2

Factor $7 x^{2}$ out of $- 14 x^{2}$ .

$f (x) = \frac{7 x^{2} (x^{2}) + 7 x^{2} (- 2)}{6 x^{2} + 3}$

Step 1.3

Factor $7 x^{2}$ out of $7 x^{2} (x^{2}) + 7 x^{2} (- 2)$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{6 x^{2} + 3}$

Step 2

Factor $3$ out of $6 x^{2} + 3$ .

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Step 2.1

Factor $3$ out of $6 x^{2}$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2}) + 3}$

Step 2.2

Factor $3$ out of $3$ .

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2}) + 3 (1)}$

Step 2.3

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

$f (x) = \frac{7 x^{2} (x^{2} - 2)}{3 (2 x^{2} + 1)}$