simplifying ( x^beta )^( (mu - Lambda) / ( mu -2)) * x ^ ( alpha - beta + 4) is not satisfactory
asked 2016-11-27 10:41:11 -0500
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The SageMath commands
var('x alpha beta Lambda mu') f(x) = ( x^beta )^( (mu - Lambda) / ( mu -2)) * x ^ ( alpha - beta + 4) f(x).simplify()
donot give the correct answer which I would expect that is g(x)
alpha_x = ((x*f.diff(x)/f).simplify_full()).factor() g(x) = x^alpha_x
Does anyone know why ?
Here is what I would expect
x^(-(Lambda*beta - alpha*mu + 2*alpha - 2*beta - 4*mu + 8)/(mu - 2))
Here is what SageMath answers :
x^(alpha - beta + 4)/(x^beta)^((Lambda - mu)/(mu - 2))
It does not mix the exponants of x in the numerator with those of x in the denominator.