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