Factor by Grouping 16r^3+28r^2-28r-49

$16 r^{3} + 28 r^{2} - 28 r - 49$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(16 r^{3} + 28 r^{2}) - 28 r - 49$

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

$4 r^{2} (4 r + 7) - 7 (4 r + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 r + 7$ .

$(4 r + 7) (4 r^{2} - 7)$