Homework Statement
Show that ##[L_{x}^2,L_{y}^2]=[L_{y}^2,L_{z}^2]=[L_{z}^2,L_{x}^2]##
Homework Equations
##L^2 = L_{x}^2+L_{y}^2+L_{z}^2##
##L_x = yp_z-zp_y##
##L_y = zp_x-xp_z##
##L_z = xp_y-yp_x##
##[x_i,p_j]=iħδ_{ij}##
##[L_x,L_y]=iħL_z##
##[L_y,L_z]=iħL_x##
##[L_z,L_x]=iħL_y##...