Find the product. Simplify your answer. (4b + 4)(b - 3) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (4b + 4)(b - 3) = 4b(b - 3) + 4(b - 3)Distribute 4b: Distribute 4b across the terms inside the parentheses (b - 3). 4b(b - 3) = 4b * b - 4b * 3 = 4b^2 - 12bDistribute 4: Distribute 4 across the terms inside the parentheses (b - 3). 4(b - 3) = 4 * b - 4 * 3 = 4b - 12Combine Results: Combine the results from Step 2 and Step 3. (4b + 4)(b - 3) = 4b^2 - 12b + 4b - 12Combine Like Terms: Combine like terms. 4b^2 - 12b + 4b - 12 = 4b^2 - 8b - 12

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Find the product. Simplify your answer. $\newline$ $(4b + 4)(b - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4b + 4)(b - 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(4b + 4)(b - 3) = 4b(b - 3) + 4(b - 3)$
Distribute $4b$ : Distribute $4b$ across the terms inside the parentheses $(b - 3)$ . $\newline$ $4b(b - 3) = 4b \times b - 4b \times 3$ $\newline$ $= 4b^2 - 12b$
Distribute $4$ : Distribute $4$ across the terms inside the parentheses $(b - 3)$ . $\newline$ $4(b - 3) = 4 \times b - 4 \times 3$ $\newline$ $= 4b - 12$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4b + 4)(b - 3) = 4b^2 - 12b + 4b - 12$
Combine Like Terms: Combine like terms. $4b^2 - 12b + 4b - 12 = 4b^2 - 8b - 12$