\(-\dfrac{4}{13}.\dfrac{5}{17}+-\dfrac{12}{17}.\dfrac{4}{13}+\dfrac{4}{13}\)
= \(-\dfrac{4}{13}.\dfrac{5}{17}+-\dfrac{12}{17}.\dfrac{4}{13}+\dfrac{4}{13}.1\)
=\(\dfrac{4}{13}.\left(\dfrac{-5}{17}+\dfrac{-12}{17}+1\right)\)
= \(\dfrac{4}{13}.\left(-1+1\right)\)
= \(\dfrac{4}{13}.0\)
= 0