Let Un-1(x) be defined as in Exercise 6 for n > 1 and define U-1(x) = 0.

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Let Un-1(x) be defined as in Exercise 6 for n > 1 and define U-1(x) = 0. Show that
(a) Tn(x) = Un(x) - xUn-1(x), for n > 0
(b) Un{x) = 2xUn-1(x) - Un-2(x), for n > 1
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