# Chapter 5 - Polynomials and Factoring - 5.6 Factoring: A General Strategy - 5.6 Exercise Set - Page 344: 43

$(a-2)(a-y)$

#### Work Step by Step

Using factoring by grouping, the factored form of the given expression, $a^2-2a-ay+2y ,$ \begin{array}{l} (a^2-2a)-(ay-2y) \\\\= a(a-2)-y(a-2) \\\\= (a-2)(a-y) .\end{array}

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