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

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Multiply polynomials

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Q. Find the product. Simplify your answer.

\newline

(4u - 1)(3u + 1)

Apply Distributive Property: First, we need to apply the distributive property to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(4u - 1)(3u + 1) = 4u \times 3u + 4u \times 1 - 1 \times 3u - 1 \times 1$
Perform Multiplication: Now, we perform the multiplication for each term. $\newline$ $4u \times 3u = 12u^2$ $\newline$ $4u \times 1 = 4u$ $\newline$ $-1 \times 3u = -3u$ $\newline$ $-1 \times 1 = -1$
Combine Like Terms: Next, we combine the like terms from the multiplication. $12u^2 + 4u - 3u - 1$
Combine Like Terms: Combining the like terms $4u$ and $-3u$ gives us: $\newline$ $12u^2 + (4u - 3u) - 1$ $\newline$ $12u^2 + 1u - 1$
Final Simplified Answer: The expression is now simplified, and we have our final answer. $12u^2 + u - 1$

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