Algebra Examples

$96 n^{3} - 84 n^{2} + 112 n - 98$

Step 1

Factor $2$ out of $96 n^{3} - 84 n^{2} + 112 n - 98$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $96 n^{3}$ .

$2 (48 n^{3}) - 84 n^{2} + 112 n - 98$

Step 1.2

Factor $2$ out of $- 84 n^{2}$ .

$2 (48 n^{3}) + 2 (- 42 n^{2}) + 112 n - 98$

Step 1.3

Factor $2$ out of $112 n$ .

$2 (48 n^{3}) + 2 (- 42 n^{2}) + 2 (56 n) - 98$

Step 1.4

Factor $2$ out of $- 98$ .

$2 (48 n^{3}) + 2 (- 42 n^{2}) + 2 (56 n) + 2 (- 49)$

Step 1.5

Factor $2$ out of $2 (48 n^{3}) + 2 (- 42 n^{2})$ .

$2 (48 n^{3} - 42 n^{2}) + 2 (56 n) + 2 (- 49)$

Step 1.6

Factor $2$ out of $2 (48 n^{3} - 42 n^{2}) + 2 (56 n)$ .

$2 (48 n^{3} - 42 n^{2} + 56 n) + 2 (- 49)$

Step 1.7

Factor $2$ out of $2 (48 n^{3} - 42 n^{2} + 56 n) + 2 (- 49)$ .

$2 (48 n^{3} - 42 n^{2} + 56 n - 49)$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$2 ((48 n^{3} - 42 n^{2}) + 56 n - 49)$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$2 (6 n^{2} (8 n - 7) + 7 (8 n - 7))$

Step 3

Factor.

Tap for more steps...

Step 3.1

Factor the polynomial by factoring out the greatest common factor, $8 n - 7$ .

$2 ((8 n - 7) (6 n^{2} + 7))$

Step 3.2

Remove unnecessary parentheses.

$2 (8 n - 7) (6 n^{2} + 7)$