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Find the product. Simplify your answer. $\newline$ $(3b + 2)(b + 3)$

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Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3b + 2)(b + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(3b + 2)(b + 3) = 3b(b + 3) + 2(b + 3)$
Distribute $3b$ : Distribute $3b$ across the terms inside the parentheses. $\newline$ 3b(b + 3) = 3b\cdot b + 3b\cdot 3\(\newline= 3b^2 + 9b\)
Distribute $2$ : Distribute $2$ across the terms inside the parentheses. $\newline$ $2(b + 3) = 2\cdot b + 2\cdot 3$ $\newline$ $= 2b + 6$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3b + 2)(b + 3) = 3b^2 + 9b + 2b + 6$
Combine Like Terms: Combine like terms. $\newline$ $3b^2 + 9b + 2b + 6 = 3b^2 + (9b + 2b) + 6$ $\newline$ $= 3b^2 + 11b + 6$

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