Factor by Grouping 56n^2-8n-7n+1

$56 n^{2} - 8 n - 7 n + 1$

Step 1

Reorder terms.

$56 n^{2} - 7 n - 8 n + 1$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(56 n^{2} - 7 n) - 8 n + 1$

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

$7 n (8 n - 1) - (8 n - 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $8 n - 1$ .

$(8 n - 1) (7 n - 1)$