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

Apply Distributive Property: First, we need to apply the distributive property to multiply the two binomials. This means we will multiply each term in the first binomial by each term in the second binomial.Multiply First Term: Multiply the first term of the first binomial by each term of the second binomial: n * (3n) + n * (-1). This gives us 3n^2 - n.Multiply Second Term: Now, multiply the second term of the first binomial by each term of the second binomial: (-1) * (3n) + (-1) * (-1). This gives us -3n + 1.Combine Results: Combine the results from the previous steps to get the full expansion: (3n^2 - n) + (-3n + 1).Simplify by Combining: Now, we simplify by combining like terms: 3n^2 - n - 3n + 1.Combine Like Terms: Combine the n terms: -n - 3n becomes -4n. So the simplified form is 3n^2 - 4n + 1.

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Algebra 1

Multiply polynomials

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Q. Find the product. Simplify your answer.

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(n - 1)(3n - 1)

Apply Distributive Property: First, we need to apply the distributive property to multiply the two binomials. This means we will multiply each term in the first binomial by each term in the second binomial.
Multiply First Term: Multiply the first term of the first binomial by each term of the second binomial: $n \times (3n) + n \times (-1)$ . This gives us $3n^2 - n$ .
Multiply Second Term: Now, multiply the second term of the first binomial by each term of the second binomial: $(-1) \times (3n) + (-1) \times (-1)$ . This gives us $-3n + 1$ .
Combine Results: Combine the results from the previous steps to get the full expansion: $(3n^2 - n) + (-3n + 1)$ .
Simplify by Combining: Now, we simplify by combining like terms: $3n^2 - n - 3n + 1$ .
Combine Like Terms: Combine the $n$ terms: $-n - 3n$ becomes $-4n$ . So the simplified form is $3n^2 - 4n + 1$ .