a: \(\dfrac{25\cdot9-25\cdot17}{-8\cdot80-8\cdot10}=\dfrac{25\cdot\left(-8\right)}{-8\cdot90}=\dfrac{25}{90}=\dfrac{5}{18}=\dfrac{125}{450}\)
\(\dfrac{48\cdot12-48\cdot15}{-3\cdot270-3\cdot30}=\dfrac{48\left(12-15\right)}{-3\left(270+30\right)}=\dfrac{48}{300}=\dfrac{4}{25}=\dfrac{72}{450}\)
b: \(\dfrac{2^5\cdot7+2^5}{2^5\cdot5^2-2^5\cdot3}=\dfrac{2^5\cdot8}{2^5\cdot22}=\dfrac{8}{22}=\dfrac{4}{11}=\dfrac{28}{77}\)
\(\dfrac{3^4\cdot5-3^6}{3^4\cdot13+3^4}=\dfrac{5-3^2}{13+1}=\dfrac{-4}{14}=\dfrac{-2}{7}=\dfrac{-22}{77}\)