3u2+11u+152u2+3u-20

Factor 3 out of 3u.

3u2+11u+152u2+3(u)-20

Rewrite 3 as -5 plus 8

3u2+11u+152u2+(-5+8)u-20

Apply the distributive property.

3u2+11u+152u2-5u+8u-20

3u2+11u+152u2-5u+8u-20

Group the first two terms and the last two terms.

3u2+11u+15(2u2-5u)+8u-20

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

3u2+11u+15u(2u-5)+4(2u-5)

3u2+11u+15u(2u-5)+4(2u-5)

Factor the polynomial by factoring out the greatest common factor, 2u-5.

3u2+11u+15(2u-5)(u+4)

Simplify (3u^2+11u+15)/(2u^2+3u-20)