Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (5k² - 9k + 1) - (8k + 13)

Explanation:

Step1: Distribute the negative sign

To simplify \((5k^2 - 9k + 1) - (8k + 13)\), we first distribute the negative sign to each term inside the second parentheses. This gives us \(5k^2 - 9k + 1 - 8k - 13\).

Step2: Combine like terms

Next, we combine the like terms. For the \(k\)-terms: \(-9k - 8k = -17k\). For the constant terms: \(1 - 13 = -12\). The \(k^2\) term, \(5k^2\), remains as it is since there are no other \(k^2\) terms to combine with. So putting it all together, we have \(5k^2 - 17k - 12\).

Answer:

\(5k^2 - 17k - 12\)