Pre-Algebra Examples

$16 - 100 x^{2}$

Step 1

Factor $4$ out of $16 - 100 x^{2}$ .

Tap for more steps...

Step 1.1

Factor $4$ out of $16$ .

$4 (4) - 100 x^{2}$

Step 1.2

Factor $4$ out of $- 100 x^{2}$ .

$4 (4) + 4 (- 25 x^{2})$

Step 1.3

Factor $4$ out of $4 (4) + 4 (- 25 x^{2})$ .

$4 (4 - 25 x^{2})$

Step 2

Rewrite $4$ as $2^{2}$ .

$4 (2^{2} - 25 x^{2})$

Step 3

Rewrite $25 x^{2}$ as ${(5 x)}^{2}$ .

$4 (2^{2} - {(5 x)}^{2})$

Step 4

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2$ and $b = 5 x$ .

$4 ((2 + 5 x) (2 - (5 x)))$

Step 5

Factor.

Tap for more steps...

Step 5.1

Multiply $5$ by $- 1$ .

$4 ((2 + 5 x) (2 - 5 x))$

Step 5.2

Remove unnecessary parentheses.

$4 (2 + 5 x) (2 - 5 x)$