AngouriMath
SolveBySplittingARootOfAProductBesideARootOfAFactor(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A root of a product beside a root of one of its factors, or a symbolic power of one
beside a symbolic power of a factor, the product split:
(P Q)^r is K P^r Q^r , where K = (P Q)^r/(P^r Q^r) is constant wherever
it is defined, for the same reason as in
SolveByTakingTheWholePowersOutOfAPowerOfAProduct(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean). The powers ofP then gather: (a + b x^2)^(5/2)/sqrt(a^2 - b^2 x^4) is
K (a + b x^2)^2/sqrt(a - b x^2) .
beside a symbolic power of a factor, the product split:
it is defined, for the same reason as in
SolveByTakingTheWholePowersOutOfAPowerOfAProduct(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean). The powers of
Remarks
Rubi's 1.2.2.3:282-293 were declined: nothing reads a radicand as a product of another
radicand and a cofactor. Only factors of the integrand are read, and at the question
asked only. https://github.com/asc-community/AngouriMath/issues/718
radicand and a cofactor. Only factors of the integrand are read, and at the question
asked only. https://github.com/asc-community/AngouriMath/issues/718
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