8u2+13u+5

Factor 13 out of 13u.

8u2+13(u)+5

Rewrite 13 as 5 plus 8

8u2+(5+8)u+5

Apply the distributive property.

8u2+5u+8u+5

8u2+5u+8u+5

Group the first two terms and the last two terms.

(8u2+5u)+8u+5

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

u(8u+5)+1(8u+5)

u(8u+5)+1(8u+5)

Factor the polynomial by factoring out the greatest common factor, 8u+5.

(8u+5)(u+1)

Factor 8u^2+13u+5