Factorize 9q3+9q2: Write the factored form of 9q3+9q2. Factor out 9q2 from 9q3 and 9q2. 9q3+9q2=9q2(q+1)
Factorize −8q−8: Write the factored form of −8q−8.Factor out −8 from −8q and −8.−8q−8=−8(q+1)
Factorize 9q3+9q2−8q−8: We found:9q3+9q2=9q2(q+1)−8q−8=−8(q+1)Write the factored form of 9q3+9q2−8q−8.Factor out (q+1) from 9q2(q+1) and −8(q+1).So, the factored form of 9q3+9q2−8q−8 is (9q2−8)(q+1).