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if x1, x2 are independent random variables where x1 is Beta(alpha+beta2, beta1) and x2 is Beta(alpha,beta2). Show that the product x1x2 is Beta(alpha, beta1+beta2). please

if x1, x2 are independent random variables where x1 is Beta(alpha+beta2, beta1) and x2 is Beta(alpha,beta2). Show that the product x1x2 is Beta(alpha, beta1+beta2).

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