Question

n^2 - 11n + 10 is (n - 10)(n - 1)
a. true
b. false

Explanation:

Step1: Expand the right - hand side

To check if \(n^{2}-11n + 10=(n - 10)(n - 1)\), we expand \((n - 10)(n - 1)\) using the distributive property (FOIL method).
The FOIL method states that \((a + b)(c + d)=ac+ad+bc+bd\). For \((n-10)(n - 1)\), we have:
\(n\times n+n\times(-1)+(-10)\times n+(-10)\times(-1)\)
\(=n^{2}-n-10n + 10\)

Step2: Simplify the expanded form

Combine like terms: \(n^{2}-n-10n + 10=n^{2}-(1 + 10)n+10=n^{2}-11n + 10\)
Which is equal to the left - hand side \(n^{2}-11n + 10\).

Answer:

A. True