Struggling with Legendre Polynomials: Any Suggestions?

[aligator123]

Hello everyone i had some questions about legendre polynomials. I have solved most of them but i had just two not answered question. I tried to solve this problem by rodriguez rule but it was really hard for me. Could anyone help me or give me some hints for this question?

http://img139.imageshack.us/img139/7731/mathkw4.th.jpg

 

[aligator123]

sorry but i really got troubled with these questions.could anyone give me detail suggestions?

 

[aligator123]

Hello why no one give any hints?
i tried also generating function.but i couldn't find the solution.
can anyone give me suggestion or show me a way to solve these problems?