Factor 3x^4-300x^2

$3 x^{4} - 300 x^{2}$

Step 1

Factor $3 x^{2}$ out of $3 x^{4} - 300 x^{2}$ .

Factor $3 x^{2}$ out of $3 x^{4}$ .

$3 x^{2} (x^{2}) - 300 x^{2}$

Factor $3 x^{2}$ out of $- 300 x^{2}$ .

$3 x^{2} (x^{2}) + 3 x^{2} (- 100)$

Factor $3 x^{2}$ out of $3 x^{2} (x^{2}) + 3 x^{2} (- 100)$ .

$3 x^{2} (x^{2} - 100)$

Step 2

Rewrite $100$ as $10^{2}$ .

$3 x^{2} (x^{2} - 10^{2})$

Step 3

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 10$ .

$3 x^{2} ((x + 10) (x - 10))$

Remove unnecessary parentheses.

$3 x^{2} (x + 10) (x - 10)$