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Find the product. Simplify your answer.

(z+4)(4z+1)

Find the product. Simplify your answer. $\newline$ $(z+4)(4 z+1)$

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Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(z+4)(4 z+1)

Distribute terms: Distribute each term in $(z+4)$ to each term in $(4z+1)$ . $\newline$ Calculation: $\newline$ $(z+4)(4z+1) = z(4z) + z(1) + 4(4z) + 4(1)$ $\newline$ $= 4z^2 + z + 16z + 4$
Combine like terms: Combine like terms. $\newline$ Calculation: $\newline$ $4z^2 + z + 16z + 4$ $\newline$ = $4z^2 + 17z + 4$

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