Find the product. Simplify your answer. (2j + 4)(4j - 1) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials (2j + 4) and (4j - 1). (2j + 4)(4j - 1) = 2j(4j - 1) + 4(4j - 1)Multiply 2j by Binomial: Multiply 2j by each term in the binomial (4j - 1). 2j(4j - 1) = 2j * 4j - 2j * 1 = 8j^2 - 2jMultiply 4 by Binomial: Multiply 4 by each term in the binomial (4j - 1). 4(4j - 1) = 4 * 4j - 4 * 1 = 16j - 4Combine Results: Combine the results from Step 2 and Step 3. (2j + 4)(4j - 1) = 8j^2 - 2j + 16j - 4Combine Like Terms: Combine like terms. 8j^2 - 2j + 16j - 4 = 8j^2 + (16j - 2j) - 4 = 8j^2 + 14j - 4

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Find the product. Simplify your answer. $\newline$ $(2j + 4)(4j - 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2j + 4)(4j - 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(2j + 4)$ and $(4j - 1)$ . $(2j + 4)(4j - 1) = 2j(4j - 1) + 4(4j - 1)$
Multiply $2j$ by Binomial: Multiply $2j$ by each term in the binomial $(4j - 1)$ . $\newline$ $2j(4j - 1) = 2j \times 4j - 2j \times 1$ $\newline$ $= 8j^2 - 2j$
Multiply $4$ by Binomial: Multiply $4$ by each term in the binomial $(4j - 1)$ . $\newline$ $4(4j - 1) = 4 \times 4j - 4 \times 1$ $\newline$ $= 16j - 4$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(2j + 4)(4j - 1) = 8j^2 - 2j + 16j - 4$
Combine Like Terms: Combine like terms. $\newline$ $8j^2 - 2j + 16j - 4 = 8j^2 + (16j - 2j) - 4$ $\newline$ $= 8j^2 + 14j - 4$