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FilledSmallSquareApart[expr] rewrites a rational expression as a sum of terms with minimal denominators.

FilledSmallSquareApart[expr, var] treats all variables other than var as constants.

FilledSmallSquare Example: Apart[(x^2+1)/(x-1)] LongRightArrow.

FilledSmallSquareApart gives the partial fraction decomposition of a rational expression.

FilledSmallSquareApart[expr, var] 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.

FilledSmallSquareApart[(x + y)/(x - y), x] LongRightArrow.

FilledSmallSquareApart[(x + y)/(x - y), y] LongRightArrow.

FilledSmallSquareApart[expr, Trig -> True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.

FilledSmallSquare See The Mathematica Book: Section 1.4.5 and Section 3.3.3.

FilledSmallSquare See also: Together, Cancel, PolynomialQuotient.

Further Examples