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find the product. simplify your answer. (b + 2)(3b + 1)

Question

find the product. simplify your answer.
(b + 2)(3b + 1)

Explanation:

Step1: Apply distributive property (FOIL)

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

Step2: Calculate each term

$3b^2 + b + 6b + 2$

Step3: Combine like terms

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

Answer:

$3b^2 + 7b + 2$