$\displaystyle [(1+\displaystyle \frac{1}{2})^2- (1+\displaystyle \frac{1}{3})^2]+[(1+\displaystyle \frac{1}{4})^2-(1+\displaystyle \frac{1}{5})^2]+...+[(1+\displaystyle \frac{1}{2n})^2 - (1+\displaystyle \frac{1}{2n+1})^2]+...$

What is the effect of removing the square brackets?

does removing the square brackets mean remove ()^2?