Question

multiply.
(n - 7)(n + 2)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

To multiply \((n - 7)(n + 2)\), we use the FOIL method. Multiply the First terms: \(n\times n = n^{2}\), the Outer terms: \(n\times2 = 2n\), the Inner terms: \(-7\times n=-7n\), and the Last terms: \(-7\times2 = - 14\). So we have \(n^{2}+2n-7n - 14\).

Step2: Combine like terms

Combine the \(2n\) and \(-7n\) terms. \(2n-7n=-5n\). So the simplified expression is \(n^{2}-5n - 14\).

Answer:

\(n^{2}-5n - 14\)