Factor 49n^3-c^2n

$49 n^{3} - c^{2} n$

Factor $n$ out of $49 n^{3} - c^{2} n$ .

Factor $n$ out of $49 n^{3}$ .

$n (49 n^{2}) - c^{2} n$

Factor $n$ out of $- c^{2} n$ .

$n (49 n^{2}) + n (- c^{2})$

Factor $n$ out of $n (49 n^{2}) + n (- c^{2})$ .

$n (49 n^{2} - c^{2})$

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

$n ({(7 n)}^{2} - c^{2})$

Factor.

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

$n ((7 n + c) (7 n - c))$

Remove unnecessary parentheses.

$n (7 n + c) (7 n - c)$