Concept: Factorise the polynomial by grouping terms and then taking out the common factors.Explanation:Start with 2pq+6p−6q−18. Group the first two terms and the last two terms: (2pq+6p)+(−6q−18). Factor each group separately: 2p(q+3)−6(q+3). Now, (q+3) is common in both parts, so take it out: (2p−6)(q+3). Notice that 2p−6 still has a common factor of 2. Write 2p−6=2(p−3). Therefore, 2pq+6p−6q−18=2(p−3)(q+3). This matches Option C.Answer:2(p−3)(q+3) Option C.