Algebra Examples

$9^{2} - 100 x^{4}$

Step 1

Rewrite $100 x^{4}$ as ${(10 x^{2})}^{2}$ .

$9^{2} - {(10 x^{2})}^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 9$ and $b = 10 x^{2}$ .

$(9 + 10 x^{2}) (9 - (10 x^{2}))$

Step 3

Multiply $10$ by $- 1$ .

$(9 + 10 x^{2}) (9 - 10 x^{2})$