AngouriMath

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SolveByCancellingWithFunctionsAsIndeterminates​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A quotient whose numerator and denominator are polynomials in x and in the functions of x in them, cancelled by their greatest
common divisor with those functions taken for indeterminates, and the denominator
written in its square-free factors the same way; the quotient so written is asked.

Remarks

(x^2 + 2x sin(x) + sin(x)^2)/(x + sin(x))^2 is 1, and no rule saw that:
split, its three terms are not elementary apart, and as it stands nothing reads a
quotient of polynomials in a sine. With S for the sine it is
(x + S)^2/(x + S)^2. Exact in the generic case, as everywhere in this
integrator: the cancelled factor is taken nonzero. Only where the writing changes
something, so that it cannot ask what it was asked.

























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