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WithTheContentOutOfEachSumFactor​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

 Method (no overloads)

Summary

denominator with the content of every written sum among its
factors taken out in front of it: (a u + a)(1 - u^2) is a (u + 1)(1 - u^2),
and -a t^6 - 2a t^5 - a t^4 + a t^2 + 2a t + a is a times the
polynomial over the rationals. Null where no factor has one.

Remarks

The content is the gcd of the coefficients as polynomials in the symbols, and a
factor whose coefficients share one is a constant times a smaller polynomial: with
the constant written inside, (a u + a) was a symbolic linear whose root the
factor 1 - u^2 beside it shares, which the symbolic split declines, and the
sextic the half-angle makes of tan(x)/(a + a csc(x)) was a polynomial with a
symbol in every coefficient, which nothing factors -- where over the rationals it is
(t - 1)(t + 1)^3 (t^2 + 1). Rubi's a + a csc(x) and the like are what
this is for.
https://github.com/asc-community/AngouriMath/issues/718

























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