Answer:
8(y + 3)(y + 4)
Step-by-step explanation:
Factor out 8 from each term
= 8(y² + 7y + 12) ← factor the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (+ 7)
The factors are + 3 and + 4, since
4 × 3 = 12 and 4 + 3 = 7, hence
y² + 7y + 12 = (y + 3)(y + 4), and
8y² + 56y + 96 = 8(y + 3)(y + 4) ← in factored form
