Answer
$8\sqrt{7}$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
17\sqrt{7}-9\sqrt{7}
,$ simplifies to
\begin{array}{l}\require{cancel}
(17-9)\sqrt{7}
\\\\=
8\sqrt{7}
.\end{array}
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