Factor 98x^2-200

$98 x^{2} - 200$

Step 1

Factor $2$ out of $98 x^{2} - 200$ .

Factor $2$ out of $98 x^{2}$ .

$2 (49 x^{2}) - 200$

Factor $2$ out of $- 200$ .

$2 (49 x^{2}) + 2 (- 100)$

Factor $2$ out of $2 (49 x^{2}) + 2 (- 100)$ .

$2 (49 x^{2} - 100)$

Step 2

Rewrite $49 x^{2}$ as ${(7 x)}^{2}$ .

$2 ({(7 x)}^{2} - 100)$

Step 3

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

$2 ({(7 x)}^{2} - 10^{2})$

Step 4

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7 x$ and $b = 10$ .

$2 ((7 x + 10) (7 x - 10))$

Remove unnecessary parentheses.

$2 (7 x + 10) (7 x - 10)$

Factor 98x^2-200

Related Questions

Support LCMGCF.com by disabling your adblocker.