Chứng minh 1/a^2n+1 +1/b^2n+1 +1/c^2n+1= 1/ a^2n+1 + b^2n+1 + c^2n+1

Cho  1/a+1/b+1/c=1/a+b+c. C/m:
1/a^2n+1 +1/b^2n+1 +1/c^2n+1= 1/ a^2n+1 + b^2n+1 + c^2n+1