Algebra Examples

$10 p^{3} - 1960 p$

Step 1

Factor $10 p$ out of $10 p^{3} - 1960 p$ .

Tap for more steps...

Step 1.1

Factor $10 p$ out of $10 p^{3}$ .

$10 p (p^{2}) - 1960 p$

Step 1.2

Factor $10 p$ out of $- 1960 p$ .

$10 p (p^{2}) + 10 p (- 196)$

Step 1.3

Factor $10 p$ out of $10 p (p^{2}) + 10 p (- 196)$ .

$10 p (p^{2} - 196)$

Step 2

Rewrite $196$ as $14^{2}$ .

$10 p (p^{2} - 14^{2})$

Step 3

Factor.

Tap for more steps...

Step 3.1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = p$ and $b = 14$ .

$10 p ((p + 14) (p - 14))$

Step 3.2

Remove unnecessary parentheses.

$10 p (p + 14) (p - 14)$