B^2 + 8b + 16 factoring polynomials with a leading coefficient

(b + 4) ²

Step-by-step explanation:

Here, you recognize the constant as the square of half the coefficient of the linear term: 16 = (8/2) ². This means the trinomial is a perfect square, so can be factored accordingly.

b² + 8b + 16 = (b + 4) ²