] rewrites a rational expression as a sum of terms with minimal denominators.
] treats all variables other than var as constants.
Apart gives the partial fraction decomposition of a rational expression.
] writes expr as a polynomial in var together with a sum of ratios of polynomials, where the degree in var of each numerator polynomial is less than that of the corresponding denominator polynomial.
Apart[(x + y)/(x - y), x].
Apart[(x + y)/(x - y), y].
True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.
See the Mathematica book: Section 1.4.5, Section 3.3.3.
See also: Together, Cancel, PolynomialQuotient.
Apart splits up expressions into partial fractions.
Here neither x nor y are treated as constants.
Here y is treated as a constant.
Here x is treated as a constant.
This uses multiple-angle formulas.
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