\(3^2\cdot5^2-\left\{4^3\cdot25-3\cdot\left[3\cdot\left(17+3\right)^3-7\cdot10^2\right]\right\}\)
\(=\left(3\cdot5\right)^2-\left[64\cdot25-3\cdot\left(3\cdot20^3-7\cdot100\right)\right]\)
\(=15^2-\left[8^2\cdot5^2-3\cdot\left(3\cdot8000-700\right)\right]\)
\(=225-\left[\left(5\cdot8\right)^2-3\cdot\left(24000-700\right)\right]\)
\(=225-\left(40^2-3\cdot23300\right)\)
\(=225-\left(1600-69900\right)\)
\(=225-\left(-68300\right)\)
\(=68525\)
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