Find the product. Simplify your answer. (3a + 1)(a - 1) ______

Identify Problem Structure: Identify the structure of the problem. We need to find the product of two binomials, (3a + 1) and (a - 1). This is a multiplication problem involving two binomials.Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials). (3a + 1)(a - 1) = 3a(a) + 3a(-1) + 1(a) + 1(-1)Perform Multiplication: Perform the multiplication for each term. 3a(a) = 3a^2 3a(-1) = -3a 1(a) = a 1(-1) = -1Combine Like Terms: Combine like terms. 3a^2 - 3a + a - 1 = 3a^2 - 2a - 1

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

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(3a + 1)(a - 1)

Identify Problem Structure: Identify the structure of the problem. $\newline$ We need to find the product of two binomials, $(3a + 1)$ and $(a - 1)$ . $\newline$ This is a multiplication problem involving two binomials.
Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials). $\newline$ $(3a + 1)(a - 1) = 3a(a) + 3a(-1) + 1(a) + 1(-1)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $3a(a) = 3a^2$ $\newline$ $3a(-1) = -3a$ $\newline$ $1(a) = a$ $\newline$ $1(-1) = -1$
Combine Like Terms: Combine like terms. $\newline$ $3a^2 - 3a + a - 1 = 3a^2 - 2a - 1$