Factor 49x^2y^2-9x^2

$49 x^{2} y^{2} - 9 x^{2}$

Step 1

Factor $x^{2}$ out of $49 x^{2} y^{2} - 9 x^{2}$ .

Factor $x^{2}$ out of $49 x^{2} y^{2}$ .

$x^{2} (49 y^{2}) - 9 x^{2}$

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

$x^{2} (49 y^{2}) + x^{2} \cdot - 9$

Factor $x^{2}$ out of $x^{2} (49 y^{2}) + x^{2} \cdot - 9$ .

$x^{2} (49 y^{2} - 9)$

Step 2

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

$x^{2} ({(7 y)}^{2} - 9)$

Step 3

Rewrite $9$ as $3^{2}$ .

$x^{2} ({(7 y)}^{2} - 3^{2})$

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 $a = 7 y$ and $b = 3$ .

$x^{2} ((7 y + 3) (7 y - 3))$

Remove unnecessary parentheses.

$x^{2} (7 y + 3) (7 y - 3)$