Step by step answer using factorization method 3p^2+15pq+18q^2

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)