Answer
$\dfrac{103}{17}$
Work Step by Step
The given expression, $
\dfrac{4(18-8)+7\cdot9}{9^2-8^2}
$, simplifies to
\begin{array}{l}\require{cancel}
\dfrac{4(10)+63}{81-64}
\\\\=
\dfrac{40+63}{81-64}
\\\\=
\dfrac{103}{17}
.\end{array}
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