\(\dfrac{-4}{13}.\dfrac{5}{17}+\dfrac{-12}{13}.\dfrac{4}{17}\)
= \(\dfrac{-4}{13}.\dfrac{5}{17}+\dfrac{-4}{13}.\dfrac{12}{17}\)
= \(\dfrac{-4}{13}.\left(\dfrac{5}{17}+\dfrac{12}{17}\right)\)
= \(\dfrac{-4}{13}.\dfrac{17}{17}\)
= \(\dfrac{-4}{13}.1\)
= \(\dfrac{-4}{13}\)
= \(\dfrac{-4.5-12.4}{13.17}\)
=\(\dfrac{-4\left(5+12\right)}{13.17}\)
=\(\dfrac{-4.17}{13.17}\)
=\(\dfrac{-4}{13}\)