= \(\dfrac{32}{19}\)(\(\dfrac{17}{33}\)+\(\dfrac{16}{33}\))-\(\dfrac{13}{19}\)(\(\dfrac{16}{33}\)+\(\dfrac{17}{33}\))=\(\dfrac{32}{19}\)-\(\dfrac{13}{19}\)=1
\(\dfrac{32}{19}.\dfrac{17}{33}-\dfrac{13}{19}.\dfrac{16}{33}+\dfrac{32}{19}.\dfrac{16}{33}-\dfrac{13}{19}.\dfrac{17}{33}\)
\(=\dfrac{32}{19}.\dfrac{17}{33}+\dfrac{32}{19}.\dfrac{16}{33}-\dfrac{13}{19}.\dfrac{16}{33}-\dfrac{13}{19}.\dfrac{16}{33}\)
\(=\left(\dfrac{32}{19}.\dfrac{17}{33}+\dfrac{32}{19}.\dfrac{16}{33}\right)-\left(\dfrac{13}{19}.\dfrac{16}{33}-\dfrac{13}{19}.\dfrac{16}{33}\right)\)
\(=\left(\dfrac{32}{19}.\dfrac{17}{33}+\dfrac{32}{19}.\dfrac{16}{33}\right)-0\)
\(=\dfrac{32}{19}.\dfrac{17}{33}-\dfrac{32}{19}.\dfrac{16}{33}\)
\(=\dfrac{32}{19}\left(\dfrac{17}{33}+\dfrac{16}{33}\right)\)
\(=\dfrac{32}{19}.\dfrac{33}{33}\)
\(=\dfrac{32}{19}.1\)
\(=\dfrac{32}{19}\)
