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\(-\dfrac{4}{13}.\dfrac{5}{17}+-\dfrac{12}{17}.\dfrac{4}{13}+\dfrac{4}{13}\)
= \(-\dfrac{4}{13}.\dfrac{5}{17}+-\dfrac{12}{17}.\dfrac{4}{13}+\dfrac{4}{13}.1\)
=\(\dfrac{4}{13}.\left(\dfrac{-5}{17}+\dfrac{-12}{17}+1\right)\)
= \(\dfrac{4}{13}.\left(-1+1\right)\)
= \(\dfrac{4}{13}.0\)
= 0
\(\frac{-4}{13}.\frac{5}{17}+\frac{-12}{13}.\frac{4}{17}+\frac{4}{13}\)
\(=\frac{4}{13}.\frac{-5}{17}+\frac{-12}{17}.\frac{4}{13}+\frac{4}{13}\)
\(=\frac{4}{13}.\left(\frac{-5}{17}+\frac{-12}{17}+1\right)\)
\(=\frac{4}{13}.0\)
\(=0\)
\(\left(\frac{-4}{13}+\frac{4}{13}+\frac{-12}{13}\right)\times\left(\frac{5}{17}+\frac{4}{17}\right)\)
\(=\)\(\frac{-12}{13}\times\left(\frac{5}{17}+\frac{4}{17}\right)\)
\(=\)\(\frac{-12}{13}\times\frac{9}{17}=\frac{-106}{221}\)
\(-\dfrac{4}{13}.\dfrac{5}{17}+\left(-\dfrac{12}{13}\right).\dfrac{4}{17}+\dfrac{4}{13}.\)
\(=\dfrac{4}{13}.\left(-\dfrac{5}{17}\right)+\left(-\dfrac{12}{17}\right).\dfrac{4}{13}+\dfrac{4}{13}.1\)
\(=\dfrac{4}{13}\left[\left(-\dfrac{5}{17}\right)+\left(-\dfrac{12}{17}\right)+1\right].\)
\(=\dfrac{4}{13}.\left[-1+1\right].\)
\(=\dfrac{4}{13}.0=0.\)
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