\(\dfrac{-5}{23}\cdot\dfrac{17}{26}+\dfrac{5}{-23}\cdot\dfrac{9}{26}\)
= \(\dfrac{-5}{23}\cdot\dfrac{17}{26}+\dfrac{-5}{23}\cdot\dfrac{9}{26}\)
= \(\dfrac{-5}{23}\left(\dfrac{17}{26}+\dfrac{9}{26}\right)\)
= \(\dfrac{-5}{23}\cdot1=\dfrac{-5}{23}\)