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

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3r - 4)(r + 1)

Apply Distributive Property: First, we will use the distributive property to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(3r - 4)(r + 1) = 3r(r) + 3r(1) - 4(r) - 4(1)$
Perform Multiplication: Now, we will perform the multiplication for each term. $\newline$ $3r(r) = 3r^2$ $\newline$ $3r(1) = 3r$ $\newline$ $-4(r) = -4r$ $\newline$ $-4(1) = -4$
Combine Like Terms: Next, we will combine the like terms. $3r^2 + 3r - 4r - 4$
Final Simplified Expression: Combining the like terms $3r$ and $-4r$ gives us: $3r^2 - r - 4$

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