Question

Expand. Your answer should be a polynomial in standard form. (n²-3n+1)(2n+3)=

Answer 1

To expand the given expression (n²-3n+1)(2n+3), multiply each term in the first parenthesis by each term in the second parenthesis. Simplify the resulting terms by combining like terms.

Step-by-step explanation:

To expand the given expression (n²-3n+1)(2n+3), we use the distributive property. First, multiply n² by each term in the second parenthesis (2n and 3), then multiply -3n by each term, and finally multiply 1 by each term.

This results in the following terms: 2n² + 3n² - 6n - 9n + 2n + 3. Now, combine like terms to simplify the expression: 5n² - 13n + 3.