Question

multiply.
$(b + 3)(b^2 + 2b + 1)$

Explanation:

Step1: Distribute $b$ to the trinomial

$b(b^2+2b+1) = b^3 + 2b^2 + b$

Step2: Distribute $3$ to the trinomial

$3(b^2+2b+1) = 3b^2 + 6b + 3$

Step3: Combine like terms

$(b^3 + 2b^2 + b) + (3b^2 + 6b + 3) = b^3 + (2b^2+3b^2) + (b+6b) + 3$
$= b^3 + 5b^2 + 7b + 3$

Answer:

b³+5b²+7b+3