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

Apply Distributive Property: Apply the distributive property to multiply the two binomials (2z - 4) and (4z - 1). (2z - 4)(4z - 1) = 2z(4z) + 2z(-1) - 4(4z) - 4(-1)Perform Multiplication: Perform the multiplication for each term. 2z(4z) = 8z^2 2z(-1) = -2z -4(4z) = -16z -4(-1) = 4Combine Like Terms: Combine the like terms from the multiplication. 8z^2 - 2z - 16z + 4 8z^2 - 18z + 4Write Final Simplified Form: Write the final simplified form of the product. The product of (2z - 4) and (4z - 1) simplified is 8z^2 - 18z + 4.

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2z - 4)(4z - 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(2z - 4)$ and $(4z - 1)$ . $(2z - 4)(4z - 1) = 2z(4z) + 2z(-1) - 4(4z) - 4(-1)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $2z(4z) = 8z^2$ $\newline$ $2z(-1) = -2z$ $\newline$ $-4(4z) = -16z$ $\newline$ $-4(-1) = 4$
Combine Like Terms: Combine the like terms from the multiplication. $\newline$ $8z^2 - 2z - 16z + 4$ $\newline$ $8z^2 - 18z + 4$
Write Final Simplified Form: Write the final simplified form of the product. $\newline$ The product of $(2z - 4)$ and $(4z - 1)$ simplified is $8z^2 - 18z + 4$ .