Find the product. Simplify your answer. (3r - 2)(r - 3) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. (3r - 2)(r - 3) = 3r(r) + 3r(-3) - 2(r) - 2(-3)Multiply Each Term: Multiply each term. 3r(r) = 3r^2 3r(-3) = -9r -2(r) = -2r -2(-3) = 6Combine Like Terms: Combine like terms. 3r^2 - 9r - 2r + 6 = 3r^2 - 11r + 6Write Final Simplified Form: Write the final simplified form of the product. The product of (3r - 2)(r - 3) when simplified is 3r^2 - 11r + 6.

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Find the product. Simplify your answer. $\newline$ $(3r - 2)(r - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3r - 2)(r - 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials. $\newline$ $(3r - 2)(r - 3) = 3r(r) + 3r(-3) - 2(r) - 2(-3)$
Multiply Each Term: Multiply each term. $\newline$ $3r(r) = 3r^2$ $\newline$ $3r(-3) = -9r$ $\newline$ $-2(r) = -2r$ $\newline$ $-2(-3) = 6$
Combine Like Terms: Combine like terms. $3r^2 - 9r - 2r + 6 = 3r^2 - 11r + 6$
Write Final Simplified Form: Write the final simplified form of the product. $\newline$ The product of $(3r - 2)(r - 3)$ when simplified is $3r^2 - 11r + 6$ .