Answer:
3(p + 2q)(p + 3q)
Step-by-step explanation:
Factor out 3 from each term
3(p² + 5pq + 6q²) ← factor the quadratic by
Consider the factors of the q² term which sum to give the coefficient of the pq- term
The factors are + 2 and + 6, since
2 × 3 = 6 and 2 + 3 = 5, hence
3p² + 15pq + 18q²
= 3(p + 2q)(p + 3q)
