a: \(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(=\dfrac{100+121+144}{169+196}\)
\(=\dfrac{365}{365}=1\)
b: \(1\cdot2\cdot3\cdot...\cdot9-1\cdot2\cdot3\cdot...\cdot8-1\cdot2\cdot3\cdot...\cdot7\cdot8^2\)
\(=1\cdot2\cdot3\cdot...\cdot8\left(9-1-8\right)\)
\(=1\cdot2\cdot3\cdot...8\cdot0=0\)
