Algebra Examples

$14 n^{3} + 7 n + 7 n^{2}$

Step 1

Factor $7 n$ out of $14 n^{3} + 7 n + 7 n^{2}$ .

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Step 1.1

Factor $7 n$ out of $14 n^{3}$ .

$7 n (2 n^{2}) + 7 n + 7 n^{2}$

Step 1.2

Factor $7 n$ out of $7 n$ .

$7 n (2 n^{2}) + 7 n (1) + 7 n^{2}$

Step 1.3

Factor $7 n$ out of $7 n^{2}$ .

$7 n (2 n^{2}) + 7 n (1) + 7 n (n)$

Step 1.4

Factor $7 n$ out of $7 n (2 n^{2}) + 7 n (1)$ .

$7 n (2 n^{2} + 1) + 7 n (n)$

Step 1.5

Factor $7 n$ out of $7 n (2 n^{2} + 1) + 7 n (n)$ .

$7 n (2 n^{2} + 1 + n)$

Step 2

Reorder terms.

$7 n (2 n^{2} + n + 1)$