Prove that (a) IP{x) = (21 – 1)xP,-1(x) – (I – 1)P;- 2(x), (b) xP(x) – P; -1(x) = IP{{x), (c) P{(x) – xPi-1(x) = IP;-1(x), (d) (1 – x²)P(x) = IP,-1(x) – lxP{x), %3D (e) (21 + 1)P(x) = Pi+1(x) – P-1(x). %3D

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