Find the product. Simplify your answer. (4j + 2)(j + 4) ______

Distribute 4j: Now, we will distribute 4j across the terms inside the parentheses. 4j(j + 4) = 4j * j + 4j * 4 = 4j^2 + 16jDistribute 2: Next, we will distribute 2 across the terms inside the parentheses. 2(j + 4) = 2 * j + 2 * 4 = 2j + 8Combine terms: Now, we will combine the results from the previous steps. (4j + 2)(j + 4) = 4j^2 + 16j + 2j + 8Simplify expression: Finally, we will combine like terms to simplify the expression. 4j^2 + 16j + 2j + 8 = 4j^2 + (16j + 2j) + 8 = 4j^2 + 18j + 8

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Find the product. Simplify your answer. $\newline$ $(4j + 2)(j + 4)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4j + 2)(j + 4)

Distribute $4j$ : Now, we will distribute $4j$ across the terms inside the parentheses. $4j(j + 4) = 4j \times j + 4j \times 4$ $= 4j^2 + 16j$
Distribute $2$ : Next, we will distribute $2$ across the terms inside the parentheses. $\newline$ 2(j + 4) = 2 \times j + 2 \times 4$\newline= 2j + 8$
Combine terms: Now, we will combine the results from the previous steps. $\newline$ $(4j + 2)(j + 4) = 4j^2 + 16j + 2j + 8$
Simplify expression: Finally, we will combine like terms to simplify the expression. $\newline$ $4j^2 + 16j + 2j + 8 = 4j^2 + (16j + 2j) + 8$ $\newline$ $= 4j^2 + 18j + 8$