AngouriMath

Navigation

← Back to list of members

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

 Method (no overloads)

Summary

A whole power of a polynomial that is the square of a polynomial in x, written as
twice that power of the root: (a^2 + 2 a b x^2 + b^2 x^4)^n is
(a + b x^2)^(2 n), whatever the signs, since the power is whole.

Remarks

The rules for a power of a binomial read the root; the trinomial is the partial fractions'
whole. Rubi's 1.2.2.2 1/((d x)^(3/2) (a^2 + 2 a b x^2 + b^2 x^4)^2) ran past the
budget, and over (a + b x^2)^4 it takes a twentieth of a second.
https://github.com/asc-community/AngouriMath/issues/718

























Angouri © 2019-2023 · Project's repo · Site's repo · Octicons · Transparency · 4862 pages online