Find the product. Simplify your answer. (3z - 1)(4z - 3) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (3z - 1) and (4z - 3). (3z - 1)(4z - 3) = 3z(4z) + 3z(-3) - 1(4z) - 1(-3)Multiply Terms: Multiply each term. 3z(4z) = 12z^2 3z(-3) = -9z -1(4z) = -4z -1(-3) = 3Combine Like Terms: Combine the like terms. 12z^2 - 9z - 4z + 3 = 12z^2 - 13z + 3Final Simplified Form: Write the final simplified form of the product. The product of (3z - 1)(4z - 3) when simplified is 12z^2 - 13z + 3.

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Find the product. Simplify your answer. $\newline$ $(3z - 1)(4z - 3)$

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3z - 1)(4z - 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(3z - 1)$ and $(4z - 3)$ . $(3z - 1)(4z - 3) = 3z(4z) + 3z(-3) - 1(4z) - 1(-3)$
Multiply Terms: Multiply each term. $\newline$ $3z(4z) = 12z^2$ $\newline$ $3z(-3) = -9z$ $\newline$ $-1(4z) = -4z$ $\newline$ $-1(-3) = 3$
Combine Like Terms: Combine the like terms. $\newline$ $12z^2 - 9z - 4z + 3 = 12z^2 - 13z + 3$
Final Simplified Form: Write the final simplified form of the product. $\newline$ The product of $(3z - 1)(4z - 3)$ when simplified is $12z^2 - 13z + 3$ .