2/9*(11/13-5/11)-2/9*(-2/13+6/11) = 2/9*(11/13-5/11+2/13-6/11) = 2/9*(1-1) = 2/9*0 = 0
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`Answer:`
\(\frac{2}{9}.\left(\frac{11}{13}-\frac{5}{11}\right)-\frac{2}{9}.\left(-\frac{2}{13}+\frac{6}{11}\right)\)
\(=\frac{2}{9}.\left(\frac{11}{13}-\frac{5}{11}+\frac{2}{13}-\frac{6}{11}\right)\)
\(=\frac{2}{9}.[\left(\frac{11}{13}+\frac{2}{13}\right)+\left(-\frac{5}{11}-\frac{6}{11}\right)]\)
\(=\frac{2}{9}.\left(1-1\right)\)
\(=0\)
