Using the identity:
Derive an expression for the legendre polynomial of degree 2.
Any help here will be amazing as I absolutely haven't got a clue!
Also from this it also asks to evaluate but i take that if you can find then you can also find and use the same method for
You could get by the same method. Alternatively, it might be slightly easier to start by differentiating with respect to x, then put x=0, and finally use the binomial series to find the coefficient of .