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)

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)