4q2-3pq-4q+3p

Group the first two terms and the last two terms.

(4q2-3pq)-4q+3p

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

q(4q-3p)-(4q-3p)

q(4q-3p)-(4q-3p)

Factor the polynomial by factoring out the greatest common factor, 4q-3p.

(4q-3p)(q-1)

Factor by Grouping 4q^2-3pq-4q+3p