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IMSO 2011 International Mathematics — Short Answer Question 8

IMSO Maths · IMSO 2011 International Mathematics — Short Answer

Question 8

Find the value of $$\begin{aligned}&\left(\frac{2009}{2010}+\frac{2010}{2011}+\frac67\right)\left(\frac12+\frac{2009}{2010}+\frac{2010}{2011}+\frac25\right)\\[-1mm]&\quad-\left(\frac12+\frac{2009}{2010}+\frac{2010}{2011}+\frac67\right)\left(\frac{2009}{2010}+\frac{2010}{2011}+\frac25\right).\end{aligned}$$