Vrijeme: 10:37

Polinomčići #3

Neka je p(x) = x^{2}(1-x)^{2}. Koliko iznosi zbroj

p\left(\frac{1}{2019}\right)-p\left(\frac{2}{2019}\right)+p\left(\frac{3}{2019}\right)-p\left(\frac{4}{2019}\right)+\cdots
 +p\left(\frac{2017}{2019}\right) - p\left(\frac{2018}{2019}\right)?