Answer
$(r+5)(2s-1)$
Work Step by Step
Using factoring by grouping, then,
\begin{array}{l}
2sr+10s-r-5
\\=
(2sr+10s)-(r+5)
\\=
2s(r+5)-(r+5)
\\=
(r+5)(2s-1)
.\end{array}
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