given a+b=c+d and a3+b3=c3+d3prove that a2011+b2011=c2011+d2011plzz xplain

Hello student,
Please find the answer to your question below
given a+b=c+d and a³+b³=c³+d³
So (a+b)(a²-ab+b²)=(c+d)(c²-cd+d²)
As a+b=c+d ;(a²-ab+b²)=(c²-cd+d²)
So (a+b)²-3ab=(c+d)²-3cd
So ab=cd
also (a+b)²-4ab=(c+d)²-4cd
So (a-b)²=(c-d)²
SO a+b=c+d and a-b=c-d
So a=c,b=d
Soa²⁰¹¹+b²⁰¹¹=c²⁰¹¹+d²⁰¹¹